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Finding the Fourth Proportional to 295,767.86, 443,915.44 and 138,085.16

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Solution

The fourth proportional to 295,767.86, 443,915.44 and 138,085.16 is: 207,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,767.86 : 443,915.44 = 138,085.16 : x
  2. Step 2: Convert to fraction form
    295,767.86/443,915.44 = 138,085.16/x
  3. Step 3: Cross multiply
    295,767.86x = 443,915.44 × 138,085.16
  4. Step 4: Simplify right side
    295,767.86x = 61,298,131,994.08
  5. Step 5: Solve for x
    x = 61,298,131,994.08/295,767.86
  6. Step 6: Final answer
    x = 207,250.83

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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.