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Finding the Fourth Proportional to 200,225.76, 274,839.72 and 177,057.12

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Solution

The fourth proportional to 200,225.76, 274,839.72 and 177,057.12 is: 243,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,225.76 : 274,839.72 = 177,057.12 : x
  2. Step 2: Convert to fraction form
    200,225.76/274,839.72 = 177,057.12/x
  3. Step 3: Cross multiply
    200,225.76x = 274,839.72 × 177,057.12
  4. Step 4: Simplify right side
    200,225.76x = 48,662,329,284.81
  5. Step 5: Solve for x
    x = 48,662,329,284.81/200,225.76
  6. Step 6: Final answer
    x = 243,037.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.