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Finding the Fourth Proportional to 136,785.56, 205,111.34 and 48,026.16

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Solution

The fourth proportional to 136,785.56, 205,111.34 and 48,026.16 is: 72,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,785.56 : 205,111.34 = 48,026.16 : x
  2. Step 2: Convert to fraction form
    136,785.56/205,111.34 = 48,026.16/x
  3. Step 3: Cross multiply
    136,785.56x = 205,111.34 × 48,026.16
  4. Step 4: Simplify right side
    136,785.56x = 9,850,710,032.65
  5. Step 5: Solve for x
    x = 9,850,710,032.65/136,785.56
  6. Step 6: Final answer
    x = 72,015.72

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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.