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Finding the Fourth Proportional to 502,175.70, 753,190.65 and 147,152.70

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Solution

The fourth proportional to 502,175.70, 753,190.65 and 147,152.70 is: 220,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,175.70 : 753,190.65 = 147,152.70 : x
  2. Step 2: Convert to fraction form
    502,175.70/753,190.65 = 147,152.70/x
  3. Step 3: Cross multiply
    502,175.70x = 753,190.65 × 147,152.70
  4. Step 4: Simplify right side
    502,175.70x = 110,834,037,762.26
  5. Step 5: Solve for x
    x = 110,834,037,762.26/502,175.70
  6. Step 6: Final answer
    x = 220,707.69

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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.