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Finding the Fourth Proportional to 182,098.42, 251,206.51 and 121,683.93

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Solution

The fourth proportional to 182,098.42, 251,206.51 and 121,683.93 is: 167,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,098.42 : 251,206.51 = 121,683.93 : x
  2. Step 2: Convert to fraction form
    182,098.42/251,206.51 = 121,683.93/x
  3. Step 3: Cross multiply
    182,098.42x = 251,206.51 × 121,683.93
  4. Step 4: Simplify right side
    182,098.42x = 30,567,795,378.38
  5. Step 5: Solve for x
    x = 30,567,795,378.38/182,098.42
  6. Step 6: Final answer
    x = 167,864.14

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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.