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Finding the Fourth Proportional to 114,205.80, 157,605.39 and 63,223.24

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Solution

The fourth proportional to 114,205.80, 157,605.39 and 63,223.24 is: 87,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,205.80 : 157,605.39 = 63,223.24 : x
  2. Step 2: Convert to fraction form
    114,205.80/157,605.39 = 63,223.24/x
  3. Step 3: Cross multiply
    114,205.80x = 157,605.39 × 63,223.24
  4. Step 4: Simplify right side
    114,205.80x = 9,964,323,397.26
  5. Step 5: Solve for x
    x = 9,964,323,397.26/114,205.80
  6. Step 6: Final answer
    x = 87,248.84

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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.