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Finding the Fourth Proportional to 195,352, 269,585.90 and 105,928

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Solution

The fourth proportional to 195,352, 269,585.90 and 105,928 is: 146,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,352 : 269,585.90 = 105,928 : x
  2. Step 2: Convert to fraction form
    195,352/269,585.90 = 105,928/x
  3. Step 3: Cross multiply
    195,352x = 269,585.90 × 105,928
  4. Step 4: Simplify right side
    195,352x = 28,556,695,215.20
  5. Step 5: Solve for x
    x = 28,556,695,215.20/195,352
  6. Step 6: Final answer
    x = 146,180.72

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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.