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Finding the Fourth Proportional to 224,515.74, 309,828.87 and 123,907.26

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Solution

The fourth proportional to 224,515.74, 309,828.87 and 123,907.26 is: 170,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,515.74 : 309,828.87 = 123,907.26 : x
  2. Step 2: Convert to fraction form
    224,515.74/309,828.87 = 123,907.26/x
  3. Step 3: Cross multiply
    224,515.74x = 309,828.87 × 123,907.26
  4. Step 4: Simplify right side
    224,515.74x = 38,390,046,350.60
  5. Step 5: Solve for x
    x = 38,390,046,350.60/224,515.74
  6. Step 6: Final answer
    x = 170,990.45

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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.