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Finding the Fourth Proportional to 98,164.80, 147,209.94 and 41,969.70

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Solution

The fourth proportional to 98,164.80, 147,209.94 and 41,969.70 is: 62,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,164.80 : 147,209.94 = 41,969.70 : x
  2. Step 2: Convert to fraction form
    98,164.80/147,209.94 = 41,969.70/x
  3. Step 3: Cross multiply
    98,164.80x = 147,209.94 × 41,969.70
  4. Step 4: Simplify right side
    98,164.80x = 6,178,357,018.82
  5. Step 5: Solve for x
    x = 6,178,357,018.82/98,164.80
  6. Step 6: Final answer
    x = 62,938.62

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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.