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Finding the Fourth Proportional to 205,298.40, 307,947.60 and 161,061.60

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Solution

The fourth proportional to 205,298.40, 307,947.60 and 161,061.60 is: 241,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,298.40 : 307,947.60 = 161,061.60 : x
  2. Step 2: Convert to fraction form
    205,298.40/307,947.60 = 161,061.60/x
  3. Step 3: Cross multiply
    205,298.40x = 307,947.60 × 161,061.60
  4. Step 4: Simplify right side
    205,298.40x = 49,598,533,172.16
  5. Step 5: Solve for x
    x = 49,598,533,172.16/205,298.40
  6. Step 6: Final answer
    x = 241,592.40

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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.