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Finding the Fourth Proportional to 295,070.60, 442,022.70 and 161,712.20

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Solution

The fourth proportional to 295,070.60, 442,022.70 and 161,712.20 is: 242,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,070.60 : 442,022.70 = 161,712.20 : x
  2. Step 2: Convert to fraction form
    295,070.60/442,022.70 = 161,712.20/x
  3. Step 3: Cross multiply
    295,070.60x = 442,022.70 × 161,712.20
  4. Step 4: Simplify right side
    295,070.60x = 71,480,463,266.94
  5. Step 5: Solve for x
    x = 71,480,463,266.94/295,070.60
  6. Step 6: Final answer
    x = 242,248.68

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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.