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Finding the Fourth Proportional to 201,098.40, 301,210.20 and 161,732.40

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Solution

The fourth proportional to 201,098.40, 301,210.20 and 161,732.40 is: 242,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.40 : 301,210.20 = 161,732.40 : x
  2. Step 2: Convert to fraction form
    201,098.40/301,210.20 = 161,732.40/x
  3. Step 3: Cross multiply
    201,098.40x = 301,210.20 × 161,732.40
  4. Step 4: Simplify right side
    201,098.40x = 48,715,448,550.48
  5. Step 5: Solve for x
    x = 48,715,448,550.48/201,098.40
  6. Step 6: Final answer
    x = 242,246.82

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1.5x scale

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.