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Finding the Fourth Proportional to 114,122.25, 157,489.25 and 63,821.25

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Solution

The fourth proportional to 114,122.25, 157,489.25 and 63,821.25 is: 88,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,122.25 : 157,489.25 = 63,821.25 : x
  2. Step 2: Convert to fraction form
    114,122.25/157,489.25 = 63,821.25/x
  3. Step 3: Cross multiply
    114,122.25x = 157,489.25 × 63,821.25
  4. Step 4: Simplify right side
    114,122.25x = 10,051,160,477.46
  5. Step 5: Solve for x
    x = 10,051,160,477.46/114,122.25
  6. Step 6: Final answer
    x = 88,073.63

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1.5x scale

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.