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Finding the Fourth Proportional to 108,202.64, 149,320.38 and 60,458

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Solution

The fourth proportional to 108,202.64, 149,320.38 and 60,458 is: 83,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,202.64 : 149,320.38 = 60,458 : x
  2. Step 2: Convert to fraction form
    108,202.64/149,320.38 = 60,458/x
  3. Step 3: Cross multiply
    108,202.64x = 149,320.38 × 60,458
  4. Step 4: Simplify right side
    108,202.64x = 9,027,611,534.04
  5. Step 5: Solve for x
    x = 9,027,611,534.04/108,202.64
  6. Step 6: Final answer
    x = 83,432.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.