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Finding the Fourth Proportional to 206,875.46, 310,307.02 and 57,124.90

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Solution

The fourth proportional to 206,875.46, 310,307.02 and 57,124.90 is: 85,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,875.46 : 310,307.02 = 57,124.90 : x
  2. Step 2: Convert to fraction form
    206,875.46/310,307.02 = 57,124.90/x
  3. Step 3: Cross multiply
    206,875.46x = 310,307.02 × 57,124.90
  4. Step 4: Simplify right side
    206,875.46x = 17,726,257,486.80
  5. Step 5: Solve for x
    x = 17,726,257,486.80/206,875.46
  6. Step 6: Final answer
    x = 85,685.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.