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Finding the Fourth Proportional to 105,731.87, 145,921.43 and 67,526.51

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Solution

The fourth proportional to 105,731.87, 145,921.43 and 67,526.51 is: 93,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,731.87 : 145,921.43 = 67,526.51 : x
  2. Step 2: Convert to fraction form
    105,731.87/145,921.43 = 67,526.51/x
  3. Step 3: Cross multiply
    105,731.87x = 145,921.43 × 67,526.51
  4. Step 4: Simplify right side
    105,731.87x = 9,853,564,341.32
  5. Step 5: Solve for x
    x = 9,853,564,341.32/105,731.87
  6. Step 6: Final answer
    x = 93,193.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.