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Finding the Fourth Proportional to 120,057.84, 165,671.46 and 66,341.88

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Solution

The fourth proportional to 120,057.84, 165,671.46 and 66,341.88 is: 91,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,057.84 : 165,671.46 = 66,341.88 : x
  2. Step 2: Convert to fraction form
    120,057.84/165,671.46 = 66,341.88/x
  3. Step 3: Cross multiply
    120,057.84x = 165,671.46 × 66,341.88
  4. Step 4: Simplify right side
    120,057.84x = 10,990,956,118.74
  5. Step 5: Solve for x
    x = 10,990,956,118.74/120,057.84
  6. Step 6: Final answer
    x = 91,547.18

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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.