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Finding the Fourth Proportional to 210,149.88, 290,024.01 and 119,534.19

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Solution

The fourth proportional to 210,149.88, 290,024.01 and 119,534.19 is: 164,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,149.88 : 290,024.01 = 119,534.19 : x
  2. Step 2: Convert to fraction form
    210,149.88/290,024.01 = 119,534.19/x
  3. Step 3: Cross multiply
    210,149.88x = 290,024.01 × 119,534.19
  4. Step 4: Simplify right side
    210,149.88x = 34,667,785,115.90
  5. Step 5: Solve for x
    x = 34,667,785,115.90/210,149.88
  6. Step 6: Final answer
    x = 164,966.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.