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Finding the Fourth Proportional to 205,818.60, 308,900.70 and 93,671.40

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Solution

The fourth proportional to 205,818.60, 308,900.70 and 93,671.40 is: 140,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,818.60 : 308,900.70 = 93,671.40 : x
  2. Step 2: Convert to fraction form
    205,818.60/308,900.70 = 93,671.40/x
  3. Step 3: Cross multiply
    205,818.60x = 308,900.70 × 93,671.40
  4. Step 4: Simplify right side
    205,818.60x = 28,935,161,029.98
  5. Step 5: Solve for x
    x = 28,935,161,029.98/205,818.60
  6. Step 6: Final answer
    x = 140,585.74

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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.