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Finding the Fourth Proportional to 201,665.20, 302,497.80 and 174,017.20

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Solution

The fourth proportional to 201,665.20, 302,497.80 and 174,017.20 is: 261,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,665.20 : 302,497.80 = 174,017.20 : x
  2. Step 2: Convert to fraction form
    201,665.20/302,497.80 = 174,017.20/x
  3. Step 3: Cross multiply
    201,665.20x = 302,497.80 × 174,017.20
  4. Step 4: Simplify right side
    201,665.20x = 52,639,820,162.16
  5. Step 5: Solve for x
    x = 52,639,820,162.16/201,665.20
  6. Step 6: Final answer
    x = 261,025.80

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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.