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Finding the Fourth Proportional to 502,177.12, 753,271.80 and 147,198.32

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Solution

The fourth proportional to 502,177.12, 753,271.80 and 147,198.32 is: 220,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,177.12 : 753,271.80 = 147,198.32 : x
  2. Step 2: Convert to fraction form
    502,177.12/753,271.80 = 147,198.32/x
  3. Step 3: Cross multiply
    502,177.12x = 753,271.80 × 147,198.32
  4. Step 4: Simplify right side
    502,177.12x = 110,880,343,463.38
  5. Step 5: Solve for x
    x = 110,880,343,463.38/502,177.12
  6. Step 6: Final answer
    x = 220,799.27

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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.