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Finding the Fourth Proportional to 224,835.60, 310,337.76 and 148,410.48

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Solution

The fourth proportional to 224,835.60, 310,337.76 and 148,410.48 is: 204,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,835.60 : 310,337.76 = 148,410.48 : x
  2. Step 2: Convert to fraction form
    224,835.60/310,337.76 = 148,410.48/x
  3. Step 3: Cross multiply
    224,835.60x = 310,337.76 × 148,410.48
  4. Step 4: Simplify right side
    224,835.60x = 46,057,375,923.72
  5. Step 5: Solve for x
    x = 46,057,375,923.72/224,835.60
  6. Step 6: Final answer
    x = 204,849.12

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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.