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Finding the Fourth Proportional to 161,894.35, 242,405.74 and 105,594.90

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Solution

The fourth proportional to 161,894.35, 242,405.74 and 105,594.90 is: 158,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,894.35 : 242,405.74 = 105,594.90 : x
  2. Step 2: Convert to fraction form
    161,894.35/242,405.74 = 105,594.90/x
  3. Step 3: Cross multiply
    161,894.35x = 242,405.74 × 105,594.90
  4. Step 4: Simplify right side
    161,894.35x = 25,596,809,874.73
  5. Step 5: Solve for x
    x = 25,596,809,874.73/161,894.35
  6. Step 6: Final answer
    x = 158,108.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.