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Finding the Fourth Proportional to 207,462.13, 286,333.59 and 120,235.06

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Solution

The fourth proportional to 207,462.13, 286,333.59 and 120,235.06 is: 165,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,462.13 : 286,333.59 = 120,235.06 : x
  2. Step 2: Convert to fraction form
    207,462.13/286,333.59 = 120,235.06/x
  3. Step 3: Cross multiply
    207,462.13x = 286,333.59 × 120,235.06
  4. Step 4: Simplify right side
    207,462.13x = 34,427,336,373.67
  5. Step 5: Solve for x
    x = 34,427,336,373.67/207,462.13
  6. Step 6: Final answer
    x = 165,945.16

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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.