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Finding the Fourth Proportional to 145,152.49, 217,728.75 and 45,321.23

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Solution

The fourth proportional to 145,152.49, 217,728.75 and 45,321.23 is: 67,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152.49 : 217,728.75 = 45,321.23 : x
  2. Step 2: Convert to fraction form
    145,152.49/217,728.75 = 45,321.23/x
  3. Step 3: Cross multiply
    145,152.49x = 217,728.75 × 45,321.23
  4. Step 4: Simplify right side
    145,152.49x = 9,867,734,314.25
  5. Step 5: Solve for x
    x = 9,867,734,314.25/145,152.49
  6. Step 6: Final answer
    x = 67,981.85

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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.