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Finding the Fourth Proportional to 210,780.36, 290,866.68 and 120,140.28

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Solution

The fourth proportional to 210,780.36, 290,866.68 and 120,140.28 is: 165,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,780.36 : 290,866.68 = 120,140.28 : x
  2. Step 2: Convert to fraction form
    210,780.36/290,866.68 = 120,140.28/x
  3. Step 3: Cross multiply
    210,780.36x = 290,866.68 × 120,140.28
  4. Step 4: Simplify right side
    210,780.36x = 34,944,804,377.87
  5. Step 5: Solve for x
    x = 34,944,804,377.87/210,780.36
  6. Step 6: Final answer
    x = 165,787.76

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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.