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Finding the Fourth Proportional to 153,232.40, 229,913.40 and 97,115.60

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Solution

The fourth proportional to 153,232.40, 229,913.40 and 97,115.60 is: 145,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,232.40 : 229,913.40 = 97,115.60 : x
  2. Step 2: Convert to fraction form
    153,232.40/229,913.40 = 97,115.60/x
  3. Step 3: Cross multiply
    153,232.40x = 229,913.40 × 97,115.60
  4. Step 4: Simplify right side
    153,232.40x = 22,328,177,789.04
  5. Step 5: Solve for x
    x = 22,328,177,789.04/153,232.40
  6. Step 6: Final answer
    x = 145,714.47

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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.