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Finding the Fourth Proportional to 137,809.86, 206,677.78 and 37,946.27

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Solution

The fourth proportional to 137,809.86, 206,677.78 and 37,946.27 is: 56,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,809.86 : 206,677.78 = 37,946.27 : x
  2. Step 2: Convert to fraction form
    137,809.86/206,677.78 = 37,946.27/x
  3. Step 3: Cross multiply
    137,809.86x = 206,677.78 × 37,946.27
  4. Step 4: Simplify right side
    137,809.86x = 7,842,651,264.71
  5. Step 5: Solve for x
    x = 7,842,651,264.71/137,809.86
  6. Step 6: Final answer
    x = 56,909.22

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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.