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Finding the Fourth Proportional to 194,612.52, 268,564.50 and 105,188.52

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Solution

The fourth proportional to 194,612.52, 268,564.50 and 105,188.52 is: 145,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,612.52 : 268,564.50 = 105,188.52 : x
  2. Step 2: Convert to fraction form
    194,612.52/268,564.50 = 105,188.52/x
  3. Step 3: Cross multiply
    194,612.52x = 268,564.50 × 105,188.52
  4. Step 4: Simplify right side
    194,612.52x = 28,249,902,279.54
  5. Step 5: Solve for x
    x = 28,249,902,279.54/194,612.52
  6. Step 6: Final answer
    x = 145,159.74

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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.