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Finding the Fourth Proportional to 491,547.98, 737,362.92 and 131,770.10

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Solution

The fourth proportional to 491,547.98, 737,362.92 and 131,770.10 is: 197,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,547.98 : 737,362.92 = 131,770.10 : x
  2. Step 2: Convert to fraction form
    491,547.98/737,362.92 = 131,770.10/x
  3. Step 3: Cross multiply
    491,547.98x = 737,362.92 × 131,770.10
  4. Step 4: Simplify right side
    491,547.98x = 97,162,385,704.69
  5. Step 5: Solve for x
    x = 97,162,385,704.69/491,547.98
  6. Step 6: Final answer
    x = 197,666.13

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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.