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Finding the Fourth Proportional to 154,897.64, 232,319.62 and 42,551.11

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Solution

The fourth proportional to 154,897.64, 232,319.62 and 42,551.11 is: 63,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,897.64 : 232,319.62 = 42,551.11 : x
  2. Step 2: Convert to fraction form
    154,897.64/232,319.62 = 42,551.11/x
  3. Step 3: Cross multiply
    154,897.64x = 232,319.62 × 42,551.11
  4. Step 4: Simplify right side
    154,897.64x = 9,885,457,705.78
  5. Step 5: Solve for x
    x = 9,885,457,705.78/154,897.64
  6. Step 6: Final answer
    x = 63,819.29

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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.