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Finding the Fourth Proportional to 132,471.68, 182,809.19 and 72,041.03

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Solution

The fourth proportional to 132,471.68, 182,809.19 and 72,041.03 is: 99,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,471.68 : 182,809.19 = 72,041.03 : x
  2. Step 2: Convert to fraction form
    132,471.68/182,809.19 = 72,041.03/x
  3. Step 3: Cross multiply
    132,471.68x = 182,809.19 × 72,041.03
  4. Step 4: Simplify right side
    132,471.68x = 13,169,761,066.81
  5. Step 5: Solve for x
    x = 13,169,761,066.81/132,471.68
  6. Step 6: Final answer
    x = 99,415.68

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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.