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Finding the Fourth Proportional to 114,385.50, 157,852.26 and 64,084.50

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Solution

The fourth proportional to 114,385.50, 157,852.26 and 64,084.50 is: 88,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,385.50 : 157,852.26 = 64,084.50 : x
  2. Step 2: Convert to fraction form
    114,385.50/157,852.26 = 64,084.50/x
  3. Step 3: Cross multiply
    114,385.50x = 157,852.26 × 64,084.50
  4. Step 4: Simplify right side
    114,385.50x = 10,115,883,155.97
  5. Step 5: Solve for x
    x = 10,115,883,155.97/114,385.50
  6. Step 6: Final answer
    x = 88,436.76

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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.