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Finding the Fourth Proportional to 186,404.24, 257,240.78 and 101,521.24

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Solution

The fourth proportional to 186,404.24, 257,240.78 and 101,521.24 is: 140,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,404.24 : 257,240.78 = 101,521.24 : x
  2. Step 2: Convert to fraction form
    186,404.24/257,240.78 = 101,521.24/x
  3. Step 3: Cross multiply
    186,404.24x = 257,240.78 × 101,521.24
  4. Step 4: Simplify right side
    186,404.24x = 26,115,402,964.17
  5. Step 5: Solve for x
    x = 26,115,402,964.17/186,404.24
  6. Step 6: Final answer
    x = 140,100.91

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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.