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Finding the Fourth Proportional to 178,237.10, 245,943.86 and 106,590.98

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Solution

The fourth proportional to 178,237.10, 245,943.86 and 106,590.98 is: 147,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,237.10 : 245,943.86 = 106,590.98 : x
  2. Step 2: Convert to fraction form
    178,237.10/245,943.86 = 106,590.98/x
  3. Step 3: Cross multiply
    178,237.10x = 245,943.86 × 106,590.98
  4. Step 4: Simplify right side
    178,237.10x = 26,215,397,062.38
  5. Step 5: Solve for x
    x = 26,215,397,062.38/178,237.10
  6. Step 6: Final answer
    x = 147,081.60

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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.