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Finding the Fourth Proportional to 502,109.76, 753,170.73 and 147,130.98

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Solution

The fourth proportional to 502,109.76, 753,170.73 and 147,130.98 is: 220,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,109.76 : 753,170.73 = 147,130.98 : x
  2. Step 2: Convert to fraction form
    502,109.76/753,170.73 = 147,130.98/x
  3. Step 3: Cross multiply
    502,109.76x = 753,170.73 × 147,130.98
  4. Step 4: Simplify right side
    502,109.76x = 110,814,747,612.22
  5. Step 5: Solve for x
    x = 110,814,747,612.22/502,109.76
  6. Step 6: Final answer
    x = 220,698.25

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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.