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Finding the Fourth Proportional to 97,619.60, 146,429.40 and 88,288.40

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Solution

The fourth proportional to 97,619.60, 146,429.40 and 88,288.40 is: 132,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,619.60 : 146,429.40 = 88,288.40 : x
  2. Step 2: Convert to fraction form
    97,619.60/146,429.40 = 88,288.40/x
  3. Step 3: Cross multiply
    97,619.60x = 146,429.40 × 88,288.40
  4. Step 4: Simplify right side
    97,619.60x = 12,928,017,438.96
  5. Step 5: Solve for x
    x = 12,928,017,438.96/97,619.60
  6. Step 6: Final answer
    x = 132,432.60

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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.