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Finding the Fourth Proportional to 210,132.42, 289,981.38 and 119,488.38

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Solution

The fourth proportional to 210,132.42, 289,981.38 and 119,488.38 is: 164,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,132.42 : 289,981.38 = 119,488.38 : x
  2. Step 2: Convert to fraction form
    210,132.42/289,981.38 = 119,488.38/x
  3. Step 3: Cross multiply
    210,132.42x = 289,981.38 × 119,488.38
  4. Step 4: Simplify right side
    210,132.42x = 34,649,405,326.36
  5. Step 5: Solve for x
    x = 34,649,405,326.36/210,132.42
  6. Step 6: Final answer
    x = 164,893.19

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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.