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Finding the Fourth Proportional to 207,820.47, 286,792.21 and 112,327.14

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Solution

The fourth proportional to 207,820.47, 286,792.21 and 112,327.14 is: 155,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,820.47 : 286,792.21 = 112,327.14 : x
  2. Step 2: Convert to fraction form
    207,820.47/286,792.21 = 112,327.14/x
  3. Step 3: Cross multiply
    207,820.47x = 286,792.21 × 112,327.14
  4. Step 4: Simplify right side
    207,820.47x = 32,214,548,723.58
  5. Step 5: Solve for x
    x = 32,214,548,723.58/207,820.47
  6. Step 6: Final answer
    x = 155,011.43

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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.