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Finding the Fourth Proportional to 207,658.82, 286,679.34 and 166,373.72

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Solution

The fourth proportional to 207,658.82, 286,679.34 and 166,373.72 is: 229,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,658.82 : 286,679.34 = 166,373.72 : x
  2. Step 2: Convert to fraction form
    207,658.82/286,679.34 = 166,373.72/x
  3. Step 3: Cross multiply
    207,658.82x = 286,679.34 × 166,373.72
  4. Step 4: Simplify right side
    207,658.82x = 47,695,908,242.94
  5. Step 5: Solve for x
    x = 47,695,908,242.94/207,658.82
  6. Step 6: Final answer
    x = 229,684.00

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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.