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Finding the Fourth Proportional to 147,534.30, 221,046.30 and 68,486.40

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Solution

The fourth proportional to 147,534.30, 221,046.30 and 68,486.40 is: 102,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,534.30 : 221,046.30 = 68,486.40 : x
  2. Step 2: Convert to fraction form
    147,534.30/221,046.30 = 68,486.40/x
  3. Step 3: Cross multiply
    147,534.30x = 221,046.30 × 68,486.40
  4. Step 4: Simplify right side
    147,534.30x = 15,138,665,320.32
  5. Step 5: Solve for x
    x = 15,138,665,320.32/147,534.30
  6. Step 6: Final answer
    x = 102,611.16

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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.