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Finding the Fourth Proportional to 114,368.28, 157,828.20 and 64,067.28

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Solution

The fourth proportional to 114,368.28, 157,828.20 and 64,067.28 is: 88,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,368.28 : 157,828.20 = 64,067.28 : x
  2. Step 2: Convert to fraction form
    114,368.28/157,828.20 = 64,067.28/x
  3. Step 3: Cross multiply
    114,368.28x = 157,828.20 × 64,067.28
  4. Step 4: Simplify right side
    114,368.28x = 10,111,623,481.30
  5. Step 5: Solve for x
    x = 10,111,623,481.30/114,368.28
  6. Step 6: Final answer
    x = 88,412.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.