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Finding the Fourth Proportional to 229,255.08, 343,904.48 and 89,024.64

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Solution

The fourth proportional to 229,255.08, 343,904.48 and 89,024.64 is: 133,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,255.08 : 343,904.48 = 89,024.64 : x
  2. Step 2: Convert to fraction form
    229,255.08/343,904.48 = 89,024.64/x
  3. Step 3: Cross multiply
    229,255.08x = 343,904.48 × 89,024.64
  4. Step 4: Simplify right side
    229,255.08x = 30,615,972,526.39
  5. Step 5: Solve for x
    x = 30,615,972,526.39/229,255.08
  6. Step 6: Final answer
    x = 133,545.45

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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.