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Finding the Fourth Proportional to 145,142.74, 217,697.64 and 50,355.46

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Solution

The fourth proportional to 145,142.74, 217,697.64 and 50,355.46 is: 75,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,142.74 : 217,697.64 = 50,355.46 : x
  2. Step 2: Convert to fraction form
    145,142.74/217,697.64 = 50,355.46/x
  3. Step 3: Cross multiply
    145,142.74x = 217,697.64 × 50,355.46
  4. Step 4: Simplify right side
    145,142.74x = 10,962,264,803.11
  5. Step 5: Solve for x
    x = 10,962,264,803.11/145,142.74
  6. Step 6: Final answer
    x = 75,527.48

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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.