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Finding the Fourth Proportional to 136,860.80, 205,302.84 and 48,106.64

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Solution

The fourth proportional to 136,860.80, 205,302.84 and 48,106.64 is: 72,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,860.80 : 205,302.84 = 48,106.64 : x
  2. Step 2: Convert to fraction form
    136,860.80/205,302.84 = 48,106.64/x
  3. Step 3: Cross multiply
    136,860.80x = 205,302.84 × 48,106.64
  4. Step 4: Simplify right side
    136,860.80x = 9,876,429,814.86
  5. Step 5: Solve for x
    x = 9,876,429,814.86/136,860.80
  6. Step 6: Final answer
    x = 72,164.05

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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.