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Finding the Fourth Proportional to 121,095.40, 181,643.10 and 81,437.80

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Solution

The fourth proportional to 121,095.40, 181,643.10 and 81,437.80 is: 122,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,095.40 : 181,643.10 = 81,437.80 : x
  2. Step 2: Convert to fraction form
    121,095.40/181,643.10 = 81,437.80/x
  3. Step 3: Cross multiply
    121,095.40x = 181,643.10 × 81,437.80
  4. Step 4: Simplify right side
    121,095.40x = 14,792,614,449.18
  5. Step 5: Solve for x
    x = 14,792,614,449.18/121,095.40
  6. Step 6: Final answer
    x = 122,156.70

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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.