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Finding the Fourth Proportional to 207,823.48, 286,796.34 and 112,330.14

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Solution

The fourth proportional to 207,823.48, 286,796.34 and 112,330.14 is: 155,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,823.48 : 286,796.34 = 112,330.14 : x
  2. Step 2: Convert to fraction form
    207,823.48/286,796.34 = 112,330.14/x
  3. Step 3: Cross multiply
    207,823.48x = 286,796.34 × 112,330.14
  4. Step 4: Simplify right side
    207,823.48x = 32,215,873,023.69
  5. Step 5: Solve for x
    x = 32,215,873,023.69/207,823.48
  6. Step 6: Final answer
    x = 155,015.56

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