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Finding the Fourth Proportional to 114,534.50, 158,057.70 and 64,233.50

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Solution

The fourth proportional to 114,534.50, 158,057.70 and 64,233.50 is: 88,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,534.50 : 158,057.70 = 64,233.50 : x
  2. Step 2: Convert to fraction form
    114,534.50/158,057.70 = 64,233.50/x
  3. Step 3: Cross multiply
    114,534.50x = 158,057.70 × 64,233.50
  4. Step 4: Simplify right side
    114,534.50x = 10,152,599,272.95
  5. Step 5: Solve for x
    x = 10,152,599,272.95/114,534.50
  6. Step 6: Final answer
    x = 88,642.28

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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.