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Finding the Fourth Proportional to 153,915.40, 230,873.10 and 48,734.20

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Solution

The fourth proportional to 153,915.40, 230,873.10 and 48,734.20 is: 73,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,915.40 : 230,873.10 = 48,734.20 : x
  2. Step 2: Convert to fraction form
    153,915.40/230,873.10 = 48,734.20/x
  3. Step 3: Cross multiply
    153,915.40x = 230,873.10 × 48,734.20
  4. Step 4: Simplify right side
    153,915.40x = 11,251,415,830.02
  5. Step 5: Solve for x
    x = 11,251,415,830.02/153,915.40
  6. Step 6: Final answer
    x = 73,101.30

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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.