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Finding the Fourth Proportional to 502,096.25, 753,150.49 and 147,117.47

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Solution

The fourth proportional to 502,096.25, 753,150.49 and 147,117.47 is: 220,677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,096.25 : 753,150.49 = 147,117.47 : x
  2. Step 2: Convert to fraction form
    502,096.25/753,150.49 = 147,117.47/x
  3. Step 3: Cross multiply
    502,096.25x = 753,150.49 × 147,117.47
  4. Step 4: Simplify right side
    502,096.25x = 110,801,590,484.51
  5. Step 5: Solve for x
    x = 110,801,590,484.51/502,096.25
  6. Step 6: Final answer
    x = 220,677.99

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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.