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Finding the Fourth Proportional to 120,547.60, 180,786.84 and 41,658.64

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Solution

The fourth proportional to 120,547.60, 180,786.84 and 41,658.64 is: 62,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,547.60 : 180,786.84 = 41,658.64 : x
  2. Step 2: Convert to fraction form
    120,547.60/180,786.84 = 41,658.64/x
  3. Step 3: Cross multiply
    120,547.60x = 180,786.84 × 41,658.64
  4. Step 4: Simplify right side
    120,547.60x = 7,531,333,884.30
  5. Step 5: Solve for x
    x = 7,531,333,884.30/120,547.60
  6. Step 6: Final answer
    x = 62,476.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.