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Finding the Fourth Proportional to 107,098.92, 147,796.38 and 64,649.16

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Solution

The fourth proportional to 107,098.92, 147,796.38 and 64,649.16 is: 89,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.92 : 147,796.38 = 64,649.16 : x
  2. Step 2: Convert to fraction form
    107,098.92/147,796.38 = 64,649.16/x
  3. Step 3: Cross multiply
    107,098.92x = 147,796.38 × 64,649.16
  4. Step 4: Simplify right side
    107,098.92x = 9,554,911,818.04
  5. Step 5: Solve for x
    x = 9,554,911,818.04/107,098.92
  6. Step 6: Final answer
    x = 89,215.76

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1.5x scale

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.