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Finding the Fourth Proportional to 224,097.48, 309,254.58 and 123,495.48

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Solution

The fourth proportional to 224,097.48, 309,254.58 and 123,495.48 is: 170,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,097.48 : 309,254.58 = 123,495.48 : x
  2. Step 2: Convert to fraction form
    224,097.48/309,254.58 = 123,495.48/x
  3. Step 3: Cross multiply
    224,097.48x = 309,254.58 × 123,495.48
  4. Step 4: Simplify right side
    224,097.48x = 38,191,542,799.30
  5. Step 5: Solve for x
    x = 38,191,542,799.30/224,097.48
  6. Step 6: Final answer
    x = 170,423.79

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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.