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Finding the Fourth Proportional to 186,031.57, 256,721.77 and 101,148.64

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Solution

The fourth proportional to 186,031.57, 256,721.77 and 101,148.64 is: 139,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,031.57 : 256,721.77 = 101,148.64 : x
  2. Step 2: Convert to fraction form
    186,031.57/256,721.77 = 101,148.64/x
  3. Step 3: Cross multiply
    186,031.57x = 256,721.77 × 101,148.64
  4. Step 4: Simplify right side
    186,031.57x = 25,967,057,893.89
  5. Step 5: Solve for x
    x = 25,967,057,893.89/186,031.57
  6. Step 6: Final answer
    x = 139,584.15

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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.