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Finding the Fourth Proportional to 132,475.48, 182,820.84 and 75,897.78

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Solution

The fourth proportional to 132,475.48, 182,820.84 and 75,897.78 is: 104,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,475.48 : 182,820.84 = 75,897.78 : x
  2. Step 2: Convert to fraction form
    132,475.48/182,820.84 = 75,897.78/x
  3. Step 3: Cross multiply
    132,475.48x = 182,820.84 × 75,897.78
  4. Step 4: Simplify right side
    132,475.48x = 13,875,695,893.74
  5. Step 5: Solve for x
    x = 13,875,695,893.74/132,475.48
  6. Step 6: Final answer
    x = 104,741.62

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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.