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Finding the Fourth Proportional to 207,429.68, 286,288.70 and 120,202.56

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Solution

The fourth proportional to 207,429.68, 286,288.70 and 120,202.56 is: 165,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,429.68 : 286,288.70 = 120,202.56 : x
  2. Step 2: Convert to fraction form
    207,429.68/286,288.70 = 120,202.56/x
  3. Step 3: Cross multiply
    207,429.68x = 286,288.70 × 120,202.56
  4. Step 4: Simplify right side
    207,429.68x = 34,412,634,038.06
  5. Step 5: Solve for x
    x = 34,412,634,038.06/207,429.68
  6. Step 6: Final answer
    x = 165,900.25

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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.