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Finding the Fourth Proportional to 106,997.76, 147,607.92 and 69,284.16

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Solution

The fourth proportional to 106,997.76, 147,607.92 and 69,284.16 is: 95,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.76 : 147,607.92 = 69,284.16 : x
  2. Step 2: Convert to fraction form
    106,997.76/147,607.92 = 69,284.16/x
  3. Step 3: Cross multiply
    106,997.76x = 147,607.92 × 69,284.16
  4. Step 4: Simplify right side
    106,997.76x = 10,226,890,746.55
  5. Step 5: Solve for x
    x = 10,226,890,746.55/106,997.76
  6. Step 6: Final answer
    x = 95,580.42

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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.