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Finding the Fourth Proportional to 189,671.34, 261,422.19 and 147,149.58

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Solution

The fourth proportional to 189,671.34, 261,422.19 and 147,149.58 is: 202,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,671.34 : 261,422.19 = 147,149.58 : x
  2. Step 2: Convert to fraction form
    189,671.34/261,422.19 = 147,149.58/x
  3. Step 3: Cross multiply
    189,671.34x = 261,422.19 × 147,149.58
  4. Step 4: Simplify right side
    189,671.34x = 38,468,165,461.18
  5. Step 5: Solve for x
    x = 38,468,165,461.18/189,671.34
  6. Step 6: Final answer
    x = 202,814.86

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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.