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Finding the Fourth Proportional to 157,106.32, 235,474.89 and 72,688.12

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Solution

The fourth proportional to 157,106.32, 235,474.89 and 72,688.12 is: 108,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,106.32 : 235,474.89 = 72,688.12 : x
  2. Step 2: Convert to fraction form
    157,106.32/235,474.89 = 72,688.12/x
  3. Step 3: Cross multiply
    157,106.32x = 235,474.89 × 72,688.12
  4. Step 4: Simplify right side
    157,106.32x = 17,116,227,061.31
  5. Step 5: Solve for x
    x = 17,116,227,061.31/157,106.32
  6. Step 6: Final answer
    x = 108,946.78

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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.