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Finding the Fourth Proportional to 175,638.96, 242,290.46 and 107,671.86

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Solution

The fourth proportional to 175,638.96, 242,290.46 and 107,671.86 is: 148,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,638.96 : 242,290.46 = 107,671.86 : x
  2. Step 2: Convert to fraction form
    175,638.96/242,290.46 = 107,671.86/x
  3. Step 3: Cross multiply
    175,638.96x = 242,290.46 × 107,671.86
  4. Step 4: Simplify right side
    175,638.96x = 26,087,864,488.46
  5. Step 5: Solve for x
    x = 26,087,864,488.46/175,638.96
  6. Step 6: Final answer
    x = 148,531.19

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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.