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Finding the Fourth Proportional to 210,474.76, 290,462.40 and 114,988.72

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Solution

The fourth proportional to 210,474.76, 290,462.40 and 114,988.72 is: 158,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,474.76 : 290,462.40 = 114,988.72 : x
  2. Step 2: Convert to fraction form
    210,474.76/290,462.40 = 114,988.72/x
  3. Step 3: Cross multiply
    210,474.76x = 290,462.40 × 114,988.72
  4. Step 4: Simplify right side
    210,474.76x = 33,399,899,584.13
  5. Step 5: Solve for x
    x = 33,399,899,584.13/210,474.76
  6. Step 6: Final answer
    x = 158,688.38

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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.