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Finding the Fourth Proportional to 210,109.38, 289,950.58 and 114,616.07

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Solution

The fourth proportional to 210,109.38, 289,950.58 and 114,616.07 is: 158,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,109.38 : 289,950.58 = 114,616.07 : x
  2. Step 2: Convert to fraction form
    210,109.38/289,950.58 = 114,616.07/x
  3. Step 3: Cross multiply
    210,109.38x = 289,950.58 × 114,616.07
  4. Step 4: Simplify right side
    210,109.38x = 33,232,995,973.82
  5. Step 5: Solve for x
    x = 33,232,995,973.82/210,109.38
  6. Step 6: Final answer
    x = 158,169.98

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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.