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Finding the Fourth Proportional to 101,038.40, 151,298.40 and 96,372.80

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Solution

The fourth proportional to 101,038.40, 151,298.40 and 96,372.80 is: 144,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,038.40 : 151,298.40 = 96,372.80 : x
  2. Step 2: Convert to fraction form
    101,038.40/151,298.40 = 96,372.80/x
  3. Step 3: Cross multiply
    101,038.40x = 151,298.40 × 96,372.80
  4. Step 4: Simplify right side
    101,038.40x = 14,581,050,443.52
  5. Step 5: Solve for x
    x = 14,581,050,443.52/101,038.40
  6. Step 6: Final answer
    x = 144,311.97

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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.