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Finding the Fourth Proportional to 229,459.86, 344,137.82 and 87,254.45

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Solution

The fourth proportional to 229,459.86, 344,137.82 and 87,254.45 is: 130,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,459.86 : 344,137.82 = 87,254.45 : x
  2. Step 2: Convert to fraction form
    229,459.86/344,137.82 = 87,254.45/x
  3. Step 3: Cross multiply
    229,459.86x = 344,137.82 × 87,254.45
  4. Step 4: Simplify right side
    229,459.86x = 30,027,554,051.34
  5. Step 5: Solve for x
    x = 30,027,554,051.34/229,459.86
  6. Step 6: Final answer
    x = 130,861.90

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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.