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Finding the Fourth Proportional to 210,029.42, 289,857.83 and 119,413.82

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Solution

The fourth proportional to 210,029.42, 289,857.83 and 119,413.82 is: 164,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,029.42 : 289,857.83 = 119,413.82 : x
  2. Step 2: Convert to fraction form
    210,029.42/289,857.83 = 119,413.82/x
  3. Step 3: Cross multiply
    210,029.42x = 289,857.83 × 119,413.82
  4. Step 4: Simplify right side
    210,029.42x = 34,613,030,864.79
  5. Step 5: Solve for x
    x = 34,613,030,864.79/210,029.42
  6. Step 6: Final answer
    x = 164,800.87

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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.