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Finding the Fourth Proportional to 114,834, 158,485.80 and 64,533

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Solution

The fourth proportional to 114,834, 158,485.80 and 64,533 is: 89,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,834 : 158,485.80 = 64,533 : x
  2. Step 2: Convert to fraction form
    114,834/158,485.80 = 64,533/x
  3. Step 3: Cross multiply
    114,834x = 158,485.80 × 64,533
  4. Step 4: Simplify right side
    114,834x = 10,227,564,131.40
  5. Step 5: Solve for x
    x = 10,227,564,131.40/114,834
  6. Step 6: Final answer
    x = 89,063.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.