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Finding the Fourth Proportional to 153,503.64, 230,470.65 and 78,677.46

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Solution

The fourth proportional to 153,503.64, 230,470.65 and 78,677.46 is: 118,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,503.64 : 230,470.65 = 78,677.46 : x
  2. Step 2: Convert to fraction form
    153,503.64/230,470.65 = 78,677.46/x
  3. Step 3: Cross multiply
    153,503.64x = 230,470.65 × 78,677.46
  4. Step 4: Simplify right side
    153,503.64x = 18,132,845,346.55
  5. Step 5: Solve for x
    x = 18,132,845,346.55/153,503.64
  6. Step 6: Final answer
    x = 118,126.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.