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Finding the Fourth Proportional to 121,875.53, 182,784 and 50,799.16

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Solution

The fourth proportional to 121,875.53, 182,784 and 50,799.16 is: 76,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,875.53 : 182,784 = 50,799.16 : x
  2. Step 2: Convert to fraction form
    121,875.53/182,784 = 50,799.16/x
  3. Step 3: Cross multiply
    121,875.53x = 182,784 × 50,799.16
  4. Step 4: Simplify right side
    121,875.53x = 9,285,273,204.48
  5. Step 5: Solve for x
    x = 9,285,273,204.48/121,875.53
  6. Step 6: Final answer
    x = 76,186.53

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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.