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Finding the Fourth Proportional to 210,326.72, 290,313 and 146,685.02

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Solution

The fourth proportional to 210,326.72, 290,313 and 146,685.02 is: 202,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,326.72 : 290,313 = 146,685.02 : x
  2. Step 2: Convert to fraction form
    210,326.72/290,313 = 146,685.02/x
  3. Step 3: Cross multiply
    210,326.72x = 290,313 × 146,685.02
  4. Step 4: Simplify right side
    210,326.72x = 42,584,566,759.70
  5. Step 5: Solve for x
    x = 42,584,566,759.70/210,326.72
  6. Step 6: Final answer
    x = 202,468.65

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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.