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Finding the Fourth Proportional to 176,882.14, 265,101.75 and 139,293.75

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Solution

The fourth proportional to 176,882.14, 265,101.75 and 139,293.75 is: 208,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,882.14 : 265,101.75 = 139,293.75 : x
  2. Step 2: Convert to fraction form
    176,882.14/265,101.75 = 139,293.75/x
  3. Step 3: Cross multiply
    176,882.14x = 265,101.75 × 139,293.75
  4. Step 4: Simplify right side
    176,882.14x = 36,927,016,192.59
  5. Step 5: Solve for x
    x = 36,927,016,192.59/176,882.14
  6. Step 6: Final answer
    x = 208,766.23

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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.