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Finding the Fourth Proportional to 144,925.40, 199,765.92 and 114,248.48

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Solution

The fourth proportional to 144,925.40, 199,765.92 and 114,248.48 is: 157,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,925.40 : 199,765.92 = 114,248.48 : x
  2. Step 2: Convert to fraction form
    144,925.40/199,765.92 = 114,248.48/x
  3. Step 3: Cross multiply
    144,925.40x = 199,765.92 × 114,248.48
  4. Step 4: Simplify right side
    144,925.40x = 22,822,952,715.80
  5. Step 5: Solve for x
    x = 22,822,952,715.80/144,925.40
  6. Step 6: Final answer
    x = 157,480.70

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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.