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Finding the Fourth Proportional to 178,567.32, 246,430.62 and 106,959

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Solution

The fourth proportional to 178,567.32, 246,430.62 and 106,959 is: 147,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,567.32 : 246,430.62 = 106,959 : x
  2. Step 2: Convert to fraction form
    178,567.32/246,430.62 = 106,959/x
  3. Step 3: Cross multiply
    178,567.32x = 246,430.62 × 106,959
  4. Step 4: Simplify right side
    178,567.32x = 26,357,972,684.58
  5. Step 5: Solve for x
    x = 26,357,972,684.58/178,567.32
  6. Step 6: Final answer
    x = 147,608.04

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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.