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Finding the Fourth Proportional to 140,077.98, 209,024.43 and 124,981.32

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Solution

The fourth proportional to 140,077.98, 209,024.43 and 124,981.32 is: 186,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,077.98 : 209,024.43 = 124,981.32 : x
  2. Step 2: Convert to fraction form
    140,077.98/209,024.43 = 124,981.32/x
  3. Step 3: Cross multiply
    140,077.98x = 209,024.43 × 124,981.32
  4. Step 4: Simplify right side
    140,077.98x = 26,124,149,173.65
  5. Step 5: Solve for x
    x = 26,124,149,173.65/140,077.98
  6. Step 6: Final answer
    x = 186,497.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.