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Finding the Fourth Proportional to 214,510.72, 296,011.92 and 119,011.72

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Solution

The fourth proportional to 214,510.72, 296,011.92 and 119,011.72 is: 164,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,510.72 : 296,011.92 = 119,011.72 : x
  2. Step 2: Convert to fraction form
    214,510.72/296,011.92 = 119,011.72/x
  3. Step 3: Cross multiply
    214,510.72x = 296,011.92 × 119,011.72
  4. Step 4: Simplify right side
    214,510.72x = 35,228,887,739.70
  5. Step 5: Solve for x
    x = 35,228,887,739.70/214,510.72
  6. Step 6: Final answer
    x = 164,229.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.