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Finding the Fourth Proportional to 224,577.32, 309,921.38 and 122,607.07

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Solution

The fourth proportional to 224,577.32, 309,921.38 and 122,607.07 is: 169,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,577.32 : 309,921.38 = 122,607.07 : x
  2. Step 2: Convert to fraction form
    224,577.32/309,921.38 = 122,607.07/x
  3. Step 3: Cross multiply
    224,577.32x = 309,921.38 × 122,607.07
  4. Step 4: Simplify right side
    224,577.32x = 37,998,552,332.16
  5. Step 5: Solve for x
    x = 37,998,552,332.16/224,577.32
  6. Step 6: Final answer
    x = 169,200.31

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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.