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Finding the Fourth Proportional to 177,568.50, 245,051.82 and 102,117

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Solution

The fourth proportional to 177,568.50, 245,051.82 and 102,117 is: 140,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,568.50 : 245,051.82 = 102,117 : x
  2. Step 2: Convert to fraction form
    177,568.50/245,051.82 = 102,117/x
  3. Step 3: Cross multiply
    177,568.50x = 245,051.82 × 102,117
  4. Step 4: Simplify right side
    177,568.50x = 25,023,956,702.94
  5. Step 5: Solve for x
    x = 25,023,956,702.94/177,568.50
  6. Step 6: Final answer
    x = 140,925.65

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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.