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Finding the Fourth Proportional to 210,565.17, 290,087.33 and 146,789.01

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Solution

The fourth proportional to 210,565.17, 290,087.33 and 146,789.01 is: 202,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,565.17 : 290,087.33 = 146,789.01 : x
  2. Step 2: Convert to fraction form
    210,565.17/290,087.33 = 146,789.01/x
  3. Step 3: Cross multiply
    210,565.17x = 290,087.33 × 146,789.01
  4. Step 4: Simplify right side
    210,565.17x = 42,581,631,250.30
  5. Step 5: Solve for x
    x = 42,581,631,250.30/210,565.17
  6. Step 6: Final answer
    x = 202,225.43

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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.