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Finding the Fourth Proportional to 97,474.60, 146,384.70 and 75,341.80

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Solution

The fourth proportional to 97,474.60, 146,384.70 and 75,341.80 is: 113,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,474.60 : 146,384.70 = 75,341.80 : x
  2. Step 2: Convert to fraction form
    97,474.60/146,384.70 = 75,341.80/x
  3. Step 3: Cross multiply
    97,474.60x = 146,384.70 × 75,341.80
  4. Step 4: Simplify right side
    97,474.60x = 11,028,886,790.46
  5. Step 5: Solve for x
    x = 11,028,886,790.46/97,474.60
  6. Step 6: Final answer
    x = 113,146.26

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Why These Related Problems?

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