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Finding the Fourth Proportional to 195,358, 269,594.04 and 105,934

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Solution

The fourth proportional to 195,358, 269,594.04 and 105,934 is: 146,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,358 : 269,594.04 = 105,934 : x
  2. Step 2: Convert to fraction form
    195,358/269,594.04 = 105,934/x
  3. Step 3: Cross multiply
    195,358x = 269,594.04 × 105,934
  4. Step 4: Simplify right side
    195,358x = 28,559,175,033.36
  5. Step 5: Solve for x
    x = 28,559,175,033.36/195,358
  6. Step 6: Final answer
    x = 146,188.92

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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.