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Finding the Fourth Proportional to 153,354.40, 230,031.60 and 42,546.40

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Solution

The fourth proportional to 153,354.40, 230,031.60 and 42,546.40 is: 63,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,354.40 : 230,031.60 = 42,546.40 : x
  2. Step 2: Convert to fraction form
    153,354.40/230,031.60 = 42,546.40/x
  3. Step 3: Cross multiply
    153,354.40x = 230,031.60 × 42,546.40
  4. Step 4: Simplify right side
    153,354.40x = 9,787,016,466.24
  5. Step 5: Solve for x
    x = 9,787,016,466.24/153,354.40
  6. Step 6: Final answer
    x = 63,819.60

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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.