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Finding the Fourth Proportional to 193,097.52, 266,470.56 and 105,881.40

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Solution

The fourth proportional to 193,097.52, 266,470.56 and 105,881.40 is: 146,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,097.52 : 266,470.56 = 105,881.40 : x
  2. Step 2: Convert to fraction form
    193,097.52/266,470.56 = 105,881.40/x
  3. Step 3: Cross multiply
    193,097.52x = 266,470.56 × 105,881.40
  4. Step 4: Simplify right side
    193,097.52x = 28,214,275,951.58
  5. Step 5: Solve for x
    x = 28,214,275,951.58/193,097.52
  6. Step 6: Final answer
    x = 146,114.13

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Why These Related Problems?

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