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Finding the Fourth Proportional to 186,140.88, 256,874.22 and 101,257.74

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Solution

The fourth proportional to 186,140.88, 256,874.22 and 101,257.74 is: 139,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,140.88 : 256,874.22 = 101,257.74 : x
  2. Step 2: Convert to fraction form
    186,140.88/256,874.22 = 101,257.74/x
  3. Step 3: Cross multiply
    186,140.88x = 256,874.22 × 101,257.74
  4. Step 4: Simplify right side
    186,140.88x = 26,010,502,981.46
  5. Step 5: Solve for x
    x = 26,010,502,981.46/186,140.88
  6. Step 6: Final answer
    x = 139,735.58

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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.