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Finding the Fourth Proportional to 224,562.77, 309,948.72 and 148,095.66

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Solution

The fourth proportional to 224,562.77, 309,948.72 and 148,095.66 is: 204,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,562.77 : 309,948.72 = 148,095.66 : x
  2. Step 2: Convert to fraction form
    224,562.77/309,948.72 = 148,095.66/x
  3. Step 3: Cross multiply
    224,562.77x = 309,948.72 × 148,095.66
  4. Step 4: Simplify right side
    224,562.77x = 45,902,060,254.56
  5. Step 5: Solve for x
    x = 45,902,060,254.56/224,562.77
  6. Step 6: Final answer
    x = 204,406.37

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1.5x scale

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.