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Finding the Fourth Proportional to 210,440.84, 290,408.04 and 114,947.56

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Solution

The fourth proportional to 210,440.84, 290,408.04 and 114,947.56 is: 158,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,440.84 : 290,408.04 = 114,947.56 : x
  2. Step 2: Convert to fraction form
    210,440.84/290,408.04 = 114,947.56/x
  3. Step 3: Cross multiply
    210,440.84x = 290,408.04 × 114,947.56
  4. Step 4: Simplify right side
    210,440.84x = 33,381,695,602.38
  5. Step 5: Solve for x
    x = 33,381,695,602.38/210,440.84
  6. Step 6: Final answer
    x = 158,627.46

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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.