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Finding the Fourth Proportional to 207,842.72, 286,431.01 and 150,384.76

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Solution

The fourth proportional to 207,842.72, 286,431.01 and 150,384.76 is: 207,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,842.72 : 286,431.01 = 150,384.76 : x
  2. Step 2: Convert to fraction form
    207,842.72/286,431.01 = 150,384.76/x
  3. Step 3: Cross multiply
    207,842.72x = 286,431.01 × 150,384.76
  4. Step 4: Simplify right side
    207,842.72x = 43,074,858,695.41
  5. Step 5: Solve for x
    x = 43,074,858,695.41/207,842.72
  6. Step 6: Final answer
    x = 207,247.38

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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.