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Finding the Fourth Proportional to 207,309.96, 310,964.76 and 57,550.14

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Solution

The fourth proportional to 207,309.96, 310,964.76 and 57,550.14 is: 86,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,309.96 : 310,964.76 = 57,550.14 : x
  2. Step 2: Convert to fraction form
    207,309.96/310,964.76 = 57,550.14/x
  3. Step 3: Cross multiply
    207,309.96x = 310,964.76 × 57,550.14
  4. Step 4: Simplify right side
    207,309.96x = 17,896,065,473.07
  5. Step 5: Solve for x
    x = 17,896,065,473.07/207,309.96
  6. Step 6: Final answer
    x = 86,325.16

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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.