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Finding the Fourth Proportional to 113,906.34, 157,264.65 and 101,948.94

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Solution

The fourth proportional to 113,906.34, 157,264.65 and 101,948.94 is: 140,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,906.34 : 157,264.65 = 101,948.94 : x
  2. Step 2: Convert to fraction form
    113,906.34/157,264.65 = 101,948.94/x
  3. Step 3: Cross multiply
    113,906.34x = 157,264.65 × 101,948.94
  4. Step 4: Simplify right side
    113,906.34x = 16,032,964,366.97
  5. Step 5: Solve for x
    x = 16,032,964,366.97/113,906.34
  6. Step 6: Final answer
    x = 140,755.68

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1.5x scale

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.