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Finding the Fourth Proportional to 252,027.76, 347,798.64 and 137,305.84

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Solution

The fourth proportional to 252,027.76, 347,798.64 and 137,305.84 is: 189,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,027.76 : 347,798.64 = 137,305.84 : x
  2. Step 2: Convert to fraction form
    252,027.76/347,798.64 = 137,305.84/x
  3. Step 3: Cross multiply
    252,027.76x = 347,798.64 × 137,305.84
  4. Step 4: Simplify right side
    252,027.76x = 47,754,784,416.06
  5. Step 5: Solve for x
    x = 47,754,784,416.06/252,027.76
  6. Step 6: Final answer
    x = 189,482.24

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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.