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Finding the Fourth Proportional to 137,059.90, 205,084.31 and 83,055.68

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Solution

The fourth proportional to 137,059.90, 205,084.31 and 83,055.68 is: 124,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,059.90 : 205,084.31 = 83,055.68 : x
  2. Step 2: Convert to fraction form
    137,059.90/205,084.31 = 83,055.68/x
  3. Step 3: Cross multiply
    137,059.90x = 205,084.31 × 83,055.68
  4. Step 4: Simplify right side
    137,059.90x = 17,033,416,152.75
  5. Step 5: Solve for x
    x = 17,033,416,152.75/137,059.90
  6. Step 6: Final answer
    x = 124,277.17

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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.