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Finding the Fourth Proportional to 115,585.86, 159,500.43 and 65,275.14

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Solution

The fourth proportional to 115,585.86, 159,500.43 and 65,275.14 is: 90,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,585.86 : 159,500.43 = 65,275.14 : x
  2. Step 2: Convert to fraction form
    115,585.86/159,500.43 = 65,275.14/x
  3. Step 3: Cross multiply
    115,585.86x = 159,500.43 × 65,275.14
  4. Step 4: Simplify right side
    115,585.86x = 10,411,412,898.31
  5. Step 5: Solve for x
    x = 10,411,412,898.31/115,585.86
  6. Step 6: Final answer
    x = 90,075.14

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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.