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Finding the Fourth Proportional to 119,585.78, 165,024.84 and 65,870.66

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Solution

The fourth proportional to 119,585.78, 165,024.84 and 65,870.66 is: 90,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,585.78 : 165,024.84 = 65,870.66 : x
  2. Step 2: Convert to fraction form
    119,585.78/165,024.84 = 65,870.66/x
  3. Step 3: Cross multiply
    119,585.78x = 165,024.84 × 65,870.66
  4. Step 4: Simplify right side
    119,585.78x = 10,870,295,127.19
  5. Step 5: Solve for x
    x = 10,870,295,127.19/119,585.78
  6. Step 6: Final answer
    x = 90,899.56

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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.