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Finding the Fourth Proportional to 231,706.73, 319,482.85 and 185,729.61

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Solution

The fourth proportional to 231,706.73, 319,482.85 and 185,729.61 is: 256,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,706.73 : 319,482.85 = 185,729.61 : x
  2. Step 2: Convert to fraction form
    231,706.73/319,482.85 = 185,729.61/x
  3. Step 3: Cross multiply
    231,706.73x = 319,482.85 × 185,729.61
  4. Step 4: Simplify right side
    231,706.73x = 59,337,425,132.19
  5. Step 5: Solve for x
    x = 59,337,425,132.19/231,706.73
  6. Step 6: Final answer
    x = 256,088.48

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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.