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Finding the Fourth Proportional to 121,701.64, 182,569.76 and 37,468.80

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Solution

The fourth proportional to 121,701.64, 182,569.76 and 37,468.80 is: 56,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,701.64 : 182,569.76 = 37,468.80 : x
  2. Step 2: Convert to fraction form
    121,701.64/182,569.76 = 37,468.80/x
  3. Step 3: Cross multiply
    121,701.64x = 182,569.76 × 37,468.80
  4. Step 4: Simplify right side
    121,701.64x = 6,840,669,823.49
  5. Step 5: Solve for x
    x = 6,840,669,823.49/121,701.64
  6. Step 6: Final answer
    x = 56,208.53

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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.