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Finding the Fourth Proportional to 295,063.60, 442,085.10 and 136,967.80

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Solution

The fourth proportional to 295,063.60, 442,085.10 and 136,967.80 is: 205,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,063.60 : 442,085.10 = 136,967.80 : x
  2. Step 2: Convert to fraction form
    295,063.60/442,085.10 = 136,967.80/x
  3. Step 3: Cross multiply
    295,063.60x = 442,085.10 × 136,967.80
  4. Step 4: Simplify right side
    295,063.60x = 60,551,423,559.78
  5. Step 5: Solve for x
    x = 60,551,423,559.78/295,063.60
  6. Step 6: Final answer
    x = 205,214.82

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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.