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Finding the Fourth Proportional to 316,503.84, 474,788.08 and 106,162.72

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Solution

The fourth proportional to 316,503.84, 474,788.08 and 106,162.72 is: 159,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,503.84 : 474,788.08 = 106,162.72 : x
  2. Step 2: Convert to fraction form
    316,503.84/474,788.08 = 106,162.72/x
  3. Step 3: Cross multiply
    316,503.84x = 474,788.08 × 106,162.72
  4. Step 4: Simplify right side
    316,503.84x = 50,404,793,996.38
  5. Step 5: Solve for x
    x = 50,404,793,996.38/316,503.84
  6. Step 6: Final answer
    x = 159,254.92

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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.