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Finding the Fourth Proportional to 132,070.32, 182,256.44 and 71,640.99

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Solution

The fourth proportional to 132,070.32, 182,256.44 and 71,640.99 is: 98,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,070.32 : 182,256.44 = 71,640.99 : x
  2. Step 2: Convert to fraction form
    132,070.32/182,256.44 = 71,640.99/x
  3. Step 3: Cross multiply
    132,070.32x = 182,256.44 × 71,640.99
  4. Step 4: Simplify right side
    132,070.32x = 13,057,031,437.27
  5. Step 5: Solve for x
    x = 13,057,031,437.27/132,070.32
  6. Step 6: Final answer
    x = 98,864.24

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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.