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Finding the Fourth Proportional to 136,714.07, 205,056.65 and 36,868.10

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Solution

The fourth proportional to 136,714.07, 205,056.65 and 36,868.10 is: 55,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,714.07 : 205,056.65 = 36,868.10 : x
  2. Step 2: Convert to fraction form
    136,714.07/205,056.65 = 36,868.10/x
  3. Step 3: Cross multiply
    136,714.07x = 205,056.65 × 36,868.10
  4. Step 4: Simplify right side
    136,714.07x = 7,560,048,144.75
  5. Step 5: Solve for x
    x = 7,560,048,144.75/136,714.07
  6. Step 6: Final answer
    x = 55,298.24

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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.