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Finding the Fourth Proportional to 278,472.60, 384,281.88 and 151,145.46

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Solution

The fourth proportional to 278,472.60, 384,281.88 and 151,145.46 is: 208,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,472.60 : 384,281.88 = 151,145.46 : x
  2. Step 2: Convert to fraction form
    278,472.60/384,281.88 = 151,145.46/x
  3. Step 3: Cross multiply
    278,472.60x = 384,281.88 × 151,145.46
  4. Step 4: Simplify right side
    278,472.60x = 58,082,461,522.26
  5. Step 5: Solve for x
    x = 58,082,461,522.26/278,472.60
  6. Step 6: Final answer
    x = 208,575.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.