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Finding the Fourth Proportional to 224,575.74, 309,901.34 and 122,580.95

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Solution

The fourth proportional to 224,575.74, 309,901.34 and 122,580.95 is: 169,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,575.74 : 309,901.34 = 122,580.95 : x
  2. Step 2: Convert to fraction form
    224,575.74/309,901.34 = 122,580.95/x
  3. Step 3: Cross multiply
    224,575.74x = 309,901.34 × 122,580.95
  4. Step 4: Simplify right side
    224,575.74x = 37,987,999,420.42
  5. Step 5: Solve for x
    x = 37,987,999,420.42/224,575.74
  6. Step 6: Final answer
    x = 169,154.51

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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.