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Finding the Fourth Proportional to 210,103.61, 289,941.13 and 114,608.25

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Solution

The fourth proportional to 210,103.61, 289,941.13 and 114,608.25 is: 158,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,103.61 : 289,941.13 = 114,608.25 : x
  2. Step 2: Convert to fraction form
    210,103.61/289,941.13 = 114,608.25/x
  3. Step 3: Cross multiply
    210,103.61x = 289,941.13 × 114,608.25
  4. Step 4: Simplify right side
    210,103.61x = 33,229,645,950.65
  5. Step 5: Solve for x
    x = 33,229,645,950.65/210,103.61
  6. Step 6: Final answer
    x = 158,158.38

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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.