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Finding the Fourth Proportional to 295,070.10, 442,021.95 and 161,711.70

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Solution

The fourth proportional to 295,070.10, 442,021.95 and 161,711.70 is: 242,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,070.10 : 442,021.95 = 161,711.70 : x
  2. Step 2: Convert to fraction form
    295,070.10/442,021.95 = 161,711.70/x
  3. Step 3: Cross multiply
    295,070.10x = 442,021.95 × 161,711.70
  4. Step 4: Simplify right side
    295,070.10x = 71,480,120,971.82
  5. Step 5: Solve for x
    x = 71,480,120,971.82/295,070.10
  6. Step 6: Final answer
    x = 242,247.93

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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.