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Finding the Fourth Proportional to 502,126.98, 753,196.68 and 147,148.26

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Solution

The fourth proportional to 502,126.98, 753,196.68 and 147,148.26 is: 220,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,126.98 : 753,196.68 = 147,148.26 : x
  2. Step 2: Convert to fraction form
    502,126.98/753,196.68 = 147,148.26/x
  3. Step 3: Cross multiply
    502,126.98x = 753,196.68 × 147,148.26
  4. Step 4: Simplify right side
    502,126.98x = 110,831,580,899.78
  5. Step 5: Solve for x
    x = 110,831,580,899.78/502,126.98
  6. Step 6: Final answer
    x = 220,724.21

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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.