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Finding the Fourth Proportional to 114,531.48, 158,053.14 and 64,231.56

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Solution

The fourth proportional to 114,531.48, 158,053.14 and 64,231.56 is: 88,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,531.48 : 158,053.14 = 64,231.56 : x
  2. Step 2: Convert to fraction form
    114,531.48/158,053.14 = 64,231.56/x
  3. Step 3: Cross multiply
    114,531.48x = 158,053.14 × 64,231.56
  4. Step 4: Simplify right side
    114,531.48x = 10,151,999,745.10
  5. Step 5: Solve for x
    x = 10,151,999,745.10/114,531.48
  6. Step 6: Final answer
    x = 88,639.38

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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.