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Finding the Fourth Proportional to 98,299.17, 147,450.38 and 28,178.48

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Solution

The fourth proportional to 98,299.17, 147,450.38 and 28,178.48 is: 42,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,299.17 : 147,450.38 = 28,178.48 : x
  2. Step 2: Convert to fraction form
    98,299.17/147,450.38 = 28,178.48/x
  3. Step 3: Cross multiply
    98,299.17x = 147,450.38 × 28,178.48
  4. Step 4: Simplify right side
    98,299.17x = 4,154,927,811.56
  5. Step 5: Solve for x
    x = 4,154,927,811.56/98,299.17
  6. Step 6: Final answer
    x = 42,268.19

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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.