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Finding the Fourth Proportional to 114,996.94, 158,695.76 and 64,008.57

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Solution

The fourth proportional to 114,996.94, 158,695.76 and 64,008.57 is: 88,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,996.94 : 158,695.76 = 64,008.57 : x
  2. Step 2: Convert to fraction form
    114,996.94/158,695.76 = 64,008.57/x
  3. Step 3: Cross multiply
    114,996.94x = 158,695.76 × 64,008.57
  4. Step 4: Simplify right side
    114,996.94x = 10,157,888,662.66
  5. Step 5: Solve for x
    x = 10,157,888,662.66/114,996.94
  6. Step 6: Final answer
    x = 88,331.82

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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.