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Finding the Fourth Proportional to 205,106.47, 283,061.13 and 114,480.11

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Solution

The fourth proportional to 205,106.47, 283,061.13 and 114,480.11 is: 157,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,106.47 : 283,061.13 = 114,480.11 : x
  2. Step 2: Convert to fraction form
    205,106.47/283,061.13 = 114,480.11/x
  3. Step 3: Cross multiply
    205,106.47x = 283,061.13 × 114,480.11
  4. Step 4: Simplify right side
    205,106.47x = 32,404,869,425.32
  5. Step 5: Solve for x
    x = 32,404,869,425.32/205,106.47
  6. Step 6: Final answer
    x = 157,990.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.