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Finding the Fourth Proportional to 97,463.20, 146,200.02 and 30,908.56

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Solution

The fourth proportional to 97,463.20, 146,200.02 and 30,908.56 is: 46,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,463.20 : 146,200.02 = 30,908.56 : x
  2. Step 2: Convert to fraction form
    97,463.20/146,200.02 = 30,908.56/x
  3. Step 3: Cross multiply
    97,463.20x = 146,200.02 × 30,908.56
  4. Step 4: Simplify right side
    97,463.20x = 4,518,832,090.17
  5. Step 5: Solve for x
    x = 4,518,832,090.17/97,463.20
  6. Step 6: Final answer
    x = 46,364.50

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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.