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Finding the Fourth Proportional to 199,448.76, 274,980.78 and 165,332.28

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Solution

The fourth proportional to 199,448.76, 274,980.78 and 165,332.28 is: 227,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,448.76 : 274,980.78 = 165,332.28 : x
  2. Step 2: Convert to fraction form
    199,448.76/274,980.78 = 165,332.28/x
  3. Step 3: Cross multiply
    199,448.76x = 274,980.78 × 165,332.28
  4. Step 4: Simplify right side
    199,448.76x = 45,463,199,313.58
  5. Step 5: Solve for x
    x = 45,463,199,313.58/199,448.76
  6. Step 6: Final answer
    x = 227,944.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.