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Finding the Fourth Proportional to 153,829.60, 230,744.40 and 94,472.80

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Solution

The fourth proportional to 153,829.60, 230,744.40 and 94,472.80 is: 141,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,829.60 : 230,744.40 = 94,472.80 : x
  2. Step 2: Convert to fraction form
    153,829.60/230,744.40 = 94,472.80/x
  3. Step 3: Cross multiply
    153,829.60x = 230,744.40 × 94,472.80
  4. Step 4: Simplify right side
    153,829.60x = 21,799,069,552.32
  5. Step 5: Solve for x
    x = 21,799,069,552.32/153,829.60
  6. Step 6: Final answer
    x = 141,709.20

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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.