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Finding the Fourth Proportional to 252,898.34, 348,999.44 and 145,465.61

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Solution

The fourth proportional to 252,898.34, 348,999.44 and 145,465.61 is: 200,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,898.34 : 348,999.44 = 145,465.61 : x
  2. Step 2: Convert to fraction form
    252,898.34/348,999.44 = 145,465.61/x
  3. Step 3: Cross multiply
    252,898.34x = 348,999.44 × 145,465.61
  4. Step 4: Simplify right side
    252,898.34x = 50,767,413,956.93
  5. Step 5: Solve for x
    x = 50,767,413,956.93/252,898.34
  6. Step 6: Final answer
    x = 200,742.38

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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.