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Finding the Fourth Proportional to 229,308.17, 343,829.81 and 88,902.77

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Solution

The fourth proportional to 229,308.17, 343,829.81 and 88,902.77 is: 133,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,308.17 : 343,829.81 = 88,902.77 : x
  2. Step 2: Convert to fraction form
    229,308.17/343,829.81 = 88,902.77/x
  3. Step 3: Cross multiply
    229,308.17x = 343,829.81 × 88,902.77
  4. Step 4: Simplify right side
    229,308.17x = 30,567,421,020.68
  5. Step 5: Solve for x
    x = 30,567,421,020.68/229,308.17
  6. Step 6: Final answer
    x = 133,302.80

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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.