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Finding the Fourth Proportional to 136,693.60, 205,040.40 and 99,514.60

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Solution

The fourth proportional to 136,693.60, 205,040.40 and 99,514.60 is: 149,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,693.60 : 205,040.40 = 99,514.60 : x
  2. Step 2: Convert to fraction form
    136,693.60/205,040.40 = 99,514.60/x
  3. Step 3: Cross multiply
    136,693.60x = 205,040.40 × 99,514.60
  4. Step 4: Simplify right side
    136,693.60x = 20,404,513,389.84
  5. Step 5: Solve for x
    x = 20,404,513,389.84/136,693.60
  6. Step 6: Final answer
    x = 149,271.90

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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.