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Finding the Fourth Proportional to 152,996.46, 229,563 and 78,077.16

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Solution

The fourth proportional to 152,996.46, 229,563 and 78,077.16 is: 117,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,996.46 : 229,563 = 78,077.16 : x
  2. Step 2: Convert to fraction form
    152,996.46/229,563 = 78,077.16/x
  3. Step 3: Cross multiply
    152,996.46x = 229,563 × 78,077.16
  4. Step 4: Simplify right side
    152,996.46x = 17,923,627,081.08
  5. Step 5: Solve for x
    x = 17,923,627,081.08/152,996.46
  6. Step 6: Final answer
    x = 117,150.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.