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Finding the Fourth Proportional to 210,328.72, 290,315.76 and 146,687.02

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Solution

The fourth proportional to 210,328.72, 290,315.76 and 146,687.02 is: 202,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,328.72 : 290,315.76 = 146,687.02 : x
  2. Step 2: Convert to fraction form
    210,328.72/290,315.76 = 146,687.02/x
  3. Step 3: Cross multiply
    210,328.72x = 290,315.76 × 146,687.02
  4. Step 4: Simplify right side
    210,328.72x = 42,585,553,693.44
  5. Step 5: Solve for x
    x = 42,585,553,693.44/210,328.72
  6. Step 6: Final answer
    x = 202,471.42

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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.