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Finding the Fourth Proportional to 153,511.76, 230,248.78 and 41,200.80

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Solution

The fourth proportional to 153,511.76, 230,248.78 and 41,200.80 is: 61,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,511.76 : 230,248.78 = 41,200.80 : x
  2. Step 2: Convert to fraction form
    153,511.76/230,248.78 = 41,200.80/x
  3. Step 3: Cross multiply
    153,511.76x = 230,248.78 × 41,200.80
  4. Step 4: Simplify right side
    153,511.76x = 9,486,433,935.02
  5. Step 5: Solve for x
    x = 9,486,433,935.02/153,511.76
  6. Step 6: Final answer
    x = 61,796.14

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1.5x scale

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.