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Finding the Fourth Proportional to 186,584.97, 257,484.65 and 101,702.37

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Solution

The fourth proportional to 186,584.97, 257,484.65 and 101,702.37 is: 140,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,584.97 : 257,484.65 = 101,702.37 : x
  2. Step 2: Convert to fraction form
    186,584.97/257,484.65 = 101,702.37/x
  3. Step 3: Cross multiply
    186,584.97x = 257,484.65 × 101,702.37
  4. Step 4: Simplify right side
    186,584.97x = 26,186,798,635.11
  5. Step 5: Solve for x
    x = 26,186,798,635.11/186,584.97
  6. Step 6: Final answer
    x = 140,347.85

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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.