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Finding the Fourth Proportional to 188,254.73, 282,192.55 and 83,055.17

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Solution

The fourth proportional to 188,254.73, 282,192.55 and 83,055.17 is: 124,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,254.73 : 282,192.55 = 83,055.17 : x
  2. Step 2: Convert to fraction form
    188,254.73/282,192.55 = 83,055.17/x
  3. Step 3: Cross multiply
    188,254.73x = 282,192.55 × 83,055.17
  4. Step 4: Simplify right side
    188,254.73x = 23,437,548,594.38
  5. Step 5: Solve for x
    x = 23,437,548,594.38/188,254.73
  6. Step 6: Final answer
    x = 124,499.13

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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.