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Finding the Fourth Proportional to 242,658.59, 334,643.81 and 166,288.55

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Solution

The fourth proportional to 242,658.59, 334,643.81 and 166,288.55 is: 229,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,658.59 : 334,643.81 = 166,288.55 : x
  2. Step 2: Convert to fraction form
    242,658.59/334,643.81 = 166,288.55/x
  3. Step 3: Cross multiply
    242,658.59x = 334,643.81 × 166,288.55
  4. Step 4: Simplify right side
    242,658.59x = 55,647,431,426.71
  5. Step 5: Solve for x
    x = 55,647,431,426.71/242,658.59
  6. Step 6: Final answer
    x = 229,323.98

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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.