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Finding the Fourth Proportional to 214,503.80, 296,011.06 and 119,009.66

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Solution

The fourth proportional to 214,503.80, 296,011.06 and 119,009.66 is: 164,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,503.80 : 296,011.06 = 119,009.66 : x
  2. Step 2: Convert to fraction form
    214,503.80/296,011.06 = 119,009.66/x
  3. Step 3: Cross multiply
    214,503.80x = 296,011.06 × 119,009.66
  4. Step 4: Simplify right side
    214,503.80x = 35,228,173,829.26
  5. Step 5: Solve for x
    x = 35,228,173,829.26/214,503.80
  6. Step 6: Final answer
    x = 164,231.01

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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.