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Finding the Fourth Proportional to 502,103.08, 753,154.47 and 147,117

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Solution

The fourth proportional to 502,103.08, 753,154.47 and 147,117 is: 220,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,103.08 : 753,154.47 = 147,117 : x
  2. Step 2: Convert to fraction form
    502,103.08/753,154.47 = 147,117/x
  3. Step 3: Cross multiply
    502,103.08x = 753,154.47 × 147,117
  4. Step 4: Simplify right side
    502,103.08x = 110,801,826,162.99
  5. Step 5: Solve for x
    x = 110,801,826,162.99/502,103.08
  6. Step 6: Final answer
    x = 220,675.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.