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Finding the Fourth Proportional to 295,064.60, 442,013.70 and 161,706.20

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Solution

The fourth proportional to 295,064.60, 442,013.70 and 161,706.20 is: 242,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,064.60 : 442,013.70 = 161,706.20 : x
  2. Step 2: Convert to fraction form
    295,064.60/442,013.70 = 161,706.20/x
  3. Step 3: Cross multiply
    295,064.60x = 442,013.70 × 161,706.20
  4. Step 4: Simplify right side
    295,064.60x = 71,476,355,774.94
  5. Step 5: Solve for x
    x = 71,476,355,774.94/295,064.60
  6. Step 6: Final answer
    x = 242,239.69

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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.