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Finding the Fourth Proportional to 252,407.96, 348,323.30 and 144,998.84

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Solution

The fourth proportional to 252,407.96, 348,323.30 and 144,998.84 is: 200,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407.96 : 348,323.30 = 144,998.84 : x
  2. Step 2: Convert to fraction form
    252,407.96/348,323.30 = 144,998.84/x
  3. Step 3: Cross multiply
    252,407.96x = 348,323.30 × 144,998.84
  4. Step 4: Simplify right side
    252,407.96x = 50,506,474,444.97
  5. Step 5: Solve for x
    x = 50,506,474,444.97/252,407.96
  6. Step 6: Final answer
    x = 200,098.58

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1.5x scale

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.