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Finding the Fourth Proportional to 214,509.72, 296,010.54 and 119,010.72

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Solution

The fourth proportional to 214,509.72, 296,010.54 and 119,010.72 is: 164,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,509.72 : 296,010.54 = 119,010.72 : x
  2. Step 2: Convert to fraction form
    214,509.72/296,010.54 = 119,010.72/x
  3. Step 3: Cross multiply
    214,509.72x = 296,010.54 × 119,010.72
  4. Step 4: Simplify right side
    214,509.72x = 35,228,427,492.99
  5. Step 5: Solve for x
    x = 35,228,427,492.99/214,509.72
  6. Step 6: Final answer
    x = 164,227.65

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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.