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Finding the Fourth Proportional to 189,714.48, 262,017.28 and 147,207.92

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Solution

The fourth proportional to 189,714.48, 262,017.28 and 147,207.92 is: 203,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714.48 : 262,017.28 = 147,207.92 : x
  2. Step 2: Convert to fraction form
    189,714.48/262,017.28 = 147,207.92/x
  3. Step 3: Cross multiply
    189,714.48x = 262,017.28 × 147,207.92
  4. Step 4: Simplify right side
    189,714.48x = 38,571,018,792.86
  5. Step 5: Solve for x
    x = 38,571,018,792.86/189,714.48
  6. Step 6: Final answer
    x = 203,310.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.