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Finding the Fourth Proportional to 229,142.41, 343,580.41 and 153,327.59

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Solution

The fourth proportional to 229,142.41, 343,580.41 and 153,327.59 is: 229,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,142.41 : 343,580.41 = 153,327.59 : x
  2. Step 2: Convert to fraction form
    229,142.41/343,580.41 = 153,327.59/x
  3. Step 3: Cross multiply
    229,142.41x = 343,580.41 × 153,327.59
  4. Step 4: Simplify right side
    229,142.41x = 52,680,356,823.13
  5. Step 5: Solve for x
    x = 52,680,356,823.13/229,142.41
  6. Step 6: Final answer
    x = 229,902.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.