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Finding the Fourth Proportional to 177,558, 245,020.02 and 101,095.74

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Solution

The fourth proportional to 177,558, 245,020.02 and 101,095.74 is: 139,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,558 : 245,020.02 = 101,095.74 : x
  2. Step 2: Convert to fraction form
    177,558/245,020.02 = 101,095.74/x
  3. Step 3: Cross multiply
    177,558x = 245,020.02 × 101,095.74
  4. Step 4: Simplify right side
    177,558x = 24,770,480,236.71
  5. Step 5: Solve for x
    x = 24,770,480,236.71/177,558
  6. Step 6: Final answer
    x = 139,506.42

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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.