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Finding the Fourth Proportional to 136,931.36, 205,345.20 and 53,780

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Solution

The fourth proportional to 136,931.36, 205,345.20 and 53,780 is: 80,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,931.36 : 205,345.20 = 53,780 : x
  2. Step 2: Convert to fraction form
    136,931.36/205,345.20 = 53,780/x
  3. Step 3: Cross multiply
    136,931.36x = 205,345.20 × 53,780
  4. Step 4: Simplify right side
    136,931.36x = 11,043,464,856
  5. Step 5: Solve for x
    x = 11,043,464,856/136,931.36
  6. Step 6: Final answer
    x = 80,649.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.