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Finding the Fourth Proportional to 132,415.66, 182,750.43 and 75,064.32

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Solution

The fourth proportional to 132,415.66, 182,750.43 and 75,064.32 is: 103,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,415.66 : 182,750.43 = 75,064.32 : x
  2. Step 2: Convert to fraction form
    132,415.66/182,750.43 = 75,064.32/x
  3. Step 3: Cross multiply
    132,415.66x = 182,750.43 × 75,064.32
  4. Step 4: Simplify right side
    132,415.66x = 13,718,036,616.91
  5. Step 5: Solve for x
    x = 13,718,036,616.91/132,415.66
  6. Step 6: Final answer
    x = 103,598.29

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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.