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Finding the Fourth Proportional to 252,181.86, 348,000.49 and 137,457.98

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Solution

The fourth proportional to 252,181.86, 348,000.49 and 137,457.98 is: 189,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,181.86 : 348,000.49 = 137,457.98 : x
  2. Step 2: Convert to fraction form
    252,181.86/348,000.49 = 137,457.98/x
  3. Step 3: Cross multiply
    252,181.86x = 348,000.49 × 137,457.98
  4. Step 4: Simplify right side
    252,181.86x = 47,835,444,388.97
  5. Step 5: Solve for x
    x = 47,835,444,388.97/252,181.86
  6. Step 6: Final answer
    x = 189,686.30

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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.