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Finding the Fourth Proportional to 98,277.49, 147,441.75 and 28,162.27

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Solution

The fourth proportional to 98,277.49, 147,441.75 and 28,162.27 is: 42,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,277.49 : 147,441.75 = 28,162.27 : x
  2. Step 2: Convert to fraction form
    98,277.49/147,441.75 = 28,162.27/x
  3. Step 3: Cross multiply
    98,277.49x = 147,441.75 × 28,162.27
  4. Step 4: Simplify right side
    98,277.49x = 4,152,294,372.77
  5. Step 5: Solve for x
    x = 4,152,294,372.77/98,277.49
  6. Step 6: Final answer
    x = 42,250.72

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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.