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Finding the Fourth Proportional to 132,502.64, 182,855.41 and 75,913.88

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Solution

The fourth proportional to 132,502.64, 182,855.41 and 75,913.88 is: 104,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,502.64 : 182,855.41 = 75,913.88 : x
  2. Step 2: Convert to fraction form
    132,502.64/182,855.41 = 75,913.88/x
  3. Step 3: Cross multiply
    132,502.64x = 182,855.41 × 75,913.88
  4. Step 4: Simplify right side
    132,502.64x = 13,881,262,548.03
  5. Step 5: Solve for x
    x = 13,881,262,548.03/132,502.64
  6. Step 6: Final answer
    x = 104,762.16

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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.