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Finding the Fourth Proportional to 214,496.54, 296,013.13 and 129,597.20

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Solution

The fourth proportional to 214,496.54, 296,013.13 and 129,597.20 is: 178,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,496.54 : 296,013.13 = 129,597.20 : x
  2. Step 2: Convert to fraction form
    214,496.54/296,013.13 = 129,597.20/x
  3. Step 3: Cross multiply
    214,496.54x = 296,013.13 × 129,597.20
  4. Step 4: Simplify right side
    214,496.54x = 38,362,471,331.17
  5. Step 5: Solve for x
    x = 38,362,471,331.17/214,496.54
  6. Step 6: Final answer
    x = 178,848.91

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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.