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Finding the Fourth Proportional to 136,723.40, 205,085.10 and 136,723.40

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Solution

The fourth proportional to 136,723.40, 205,085.10 and 136,723.40 is: 205,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,723.40 : 205,085.10 = 136,723.40 : x
  2. Step 2: Convert to fraction form
    136,723.40/205,085.10 = 136,723.40/x
  3. Step 3: Cross multiply
    136,723.40x = 205,085.10 × 136,723.40
  4. Step 4: Simplify right side
    136,723.40x = 28,039,932,161.34
  5. Step 5: Solve for x
    x = 28,039,932,161.34/136,723.40
  6. Step 6: Final answer
    x = 205,085.10

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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.