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Finding the Fourth Proportional to 119,458.59, 164,852.88 and 65,743.62

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Solution

The fourth proportional to 119,458.59, 164,852.88 and 65,743.62 is: 90,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,458.59 : 164,852.88 = 65,743.62 : x
  2. Step 2: Convert to fraction form
    119,458.59/164,852.88 = 65,743.62/x
  3. Step 3: Cross multiply
    119,458.59x = 164,852.88 × 65,743.62
  4. Step 4: Simplify right side
    119,458.59x = 10,838,025,098.63
  5. Step 5: Solve for x
    x = 10,838,025,098.63/119,458.59
  6. Step 6: Final answer
    x = 90,726.21

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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.