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Finding the Fourth Proportional to 107,290.64, 147,964.20 and 67,008.08

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Solution

The fourth proportional to 107,290.64, 147,964.20 and 67,008.08 is: 92,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,290.64 : 147,964.20 = 67,008.08 : x
  2. Step 2: Convert to fraction form
    107,290.64/147,964.20 = 67,008.08/x
  3. Step 3: Cross multiply
    107,290.64x = 147,964.20 × 67,008.08
  4. Step 4: Simplify right side
    107,290.64x = 9,914,796,950.74
  5. Step 5: Solve for x
    x = 9,914,796,950.74/107,290.64
  6. Step 6: Final answer
    x = 92,410.64

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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.