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Finding the Fourth Proportional to 210,439.46, 290,412.60 and 114,947.66

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Solution

The fourth proportional to 210,439.46, 290,412.60 and 114,947.66 is: 158,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,439.46 : 290,412.60 = 114,947.66 : x
  2. Step 2: Convert to fraction form
    210,439.46/290,412.60 = 114,947.66/x
  3. Step 3: Cross multiply
    210,439.46x = 290,412.60 × 114,947.66
  4. Step 4: Simplify right side
    210,439.46x = 33,382,248,804.52
  5. Step 5: Solve for x
    x = 33,382,248,804.52/210,439.46
  6. Step 6: Final answer
    x = 158,631.13

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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.