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Finding the Fourth Proportional to 101,172.57, 151,459.95 and 96,842.31

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Solution

The fourth proportional to 101,172.57, 151,459.95 and 96,842.31 is: 144,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,172.57 : 151,459.95 = 96,842.31 : x
  2. Step 2: Convert to fraction form
    101,172.57/151,459.95 = 96,842.31/x
  3. Step 3: Cross multiply
    101,172.57x = 151,459.95 × 96,842.31
  4. Step 4: Simplify right side
    101,172.57x = 14,667,731,430.48
  5. Step 5: Solve for x
    x = 14,667,731,430.48/101,172.57
  6. Step 6: Final answer
    x = 144,977.35

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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.