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Finding the Fourth Proportional to 502,162.02, 753,265.80 and 142,358.64

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Solution

The fourth proportional to 502,162.02, 753,265.80 and 142,358.64 is: 213,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,162.02 : 753,265.80 = 142,358.64 : x
  2. Step 2: Convert to fraction form
    502,162.02/753,265.80 = 142,358.64/x
  3. Step 3: Cross multiply
    502,162.02x = 753,265.80 × 142,358.64
  4. Step 4: Simplify right side
    502,162.02x = 107,233,894,846.51
  5. Step 5: Solve for x
    x = 107,233,894,846.51/502,162.02
  6. Step 6: Final answer
    x = 213,544.42

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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.