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Finding the Fourth Proportional to 123,802.64, 170,847.64 and 67,214.02

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Solution

The fourth proportional to 123,802.64, 170,847.64 and 67,214.02 is: 92,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,802.64 : 170,847.64 = 67,214.02 : x
  2. Step 2: Convert to fraction form
    123,802.64/170,847.64 = 67,214.02/x
  3. Step 3: Cross multiply
    123,802.64x = 170,847.64 × 67,214.02
  4. Step 4: Simplify right side
    123,802.64x = 11,483,356,691.91
  5. Step 5: Solve for x
    x = 11,483,356,691.91/123,802.64
  6. Step 6: Final answer
    x = 92,755.35

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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.