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Finding the Fourth Proportional to 140,925.83, 211,374.16 and 132,702.71

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Solution

The fourth proportional to 140,925.83, 211,374.16 and 132,702.71 is: 199,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,925.83 : 211,374.16 = 132,702.71 : x
  2. Step 2: Convert to fraction form
    140,925.83/211,374.16 = 132,702.71/x
  3. Step 3: Cross multiply
    140,925.83x = 211,374.16 × 132,702.71
  4. Step 4: Simplify right side
    140,925.83x = 28,049,922,467.35
  5. Step 5: Solve for x
    x = 28,049,922,467.35/140,925.83
  6. Step 6: Final answer
    x = 199,040.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.