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Finding the Fourth Proportional to 106,701.57, 147,226.86 and 64,262.84

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Solution

The fourth proportional to 106,701.57, 147,226.86 and 64,262.84 is: 88,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,701.57 : 147,226.86 = 64,262.84 : x
  2. Step 2: Convert to fraction form
    106,701.57/147,226.86 = 64,262.84/x
  3. Step 3: Cross multiply
    106,701.57x = 147,226.86 × 64,262.84
  4. Step 4: Simplify right side
    106,701.57x = 9,461,215,411.75
  5. Step 5: Solve for x
    x = 9,461,215,411.75/106,701.57
  6. Step 6: Final answer
    x = 88,669.88

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