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Finding the Fourth Proportional to 161,709.80, 242,564.70 and 98,724.20

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Solution

The fourth proportional to 161,709.80, 242,564.70 and 98,724.20 is: 148,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,709.80 : 242,564.70 = 98,724.20 : x
  2. Step 2: Convert to fraction form
    161,709.80/242,564.70 = 98,724.20/x
  3. Step 3: Cross multiply
    161,709.80x = 242,564.70 × 98,724.20
  4. Step 4: Simplify right side
    161,709.80x = 23,947,005,955.74
  5. Step 5: Solve for x
    x = 23,947,005,955.74/161,709.80
  6. Step 6: Final answer
    x = 148,086.30

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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.