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Finding the Fourth Proportional to 136,036.64, 204,053.28 and 47,288.48

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Solution

The fourth proportional to 136,036.64, 204,053.28 and 47,288.48 is: 70,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,036.64 : 204,053.28 = 47,288.48 : x
  2. Step 2: Convert to fraction form
    136,036.64/204,053.28 = 47,288.48/x
  3. Step 3: Cross multiply
    136,036.64x = 204,053.28 × 47,288.48
  4. Step 4: Simplify right side
    136,036.64x = 9,649,369,450.21
  5. Step 5: Solve for x
    x = 9,649,369,450.21/136,036.64
  6. Step 6: Final answer
    x = 70,932.14

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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.