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Finding the Fourth Proportional to 334,169.80, 501,254.70 and 84,851.80

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Solution

The fourth proportional to 334,169.80, 501,254.70 and 84,851.80 is: 127,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,169.80 : 501,254.70 = 84,851.80 : x
  2. Step 2: Convert to fraction form
    334,169.80/501,254.70 = 84,851.80/x
  3. Step 3: Cross multiply
    334,169.80x = 501,254.70 × 84,851.80
  4. Step 4: Simplify right side
    334,169.80x = 42,532,363,553.46
  5. Step 5: Solve for x
    x = 42,532,363,553.46/334,169.80
  6. Step 6: Final answer
    x = 127,277.70

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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.