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Finding the Fourth Proportional to 224,444.76, 309,740.26 and 123,849.24

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Solution

The fourth proportional to 224,444.76, 309,740.26 and 123,849.24 is: 170,915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,444.76 : 309,740.26 = 123,849.24 : x
  2. Step 2: Convert to fraction form
    224,444.76/309,740.26 = 123,849.24/x
  3. Step 3: Cross multiply
    224,444.76x = 309,740.26 × 123,849.24
  4. Step 4: Simplify right side
    224,444.76x = 38,361,095,798.40
  5. Step 5: Solve for x
    x = 38,361,095,798.40/224,444.76
  6. Step 6: Final answer
    x = 170,915.53

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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.