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Finding the Fourth Proportional to 210,279, 290,211.75 and 138,807.84

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Solution

The fourth proportional to 210,279, 290,211.75 and 138,807.84 is: 191,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,279 : 290,211.75 = 138,807.84 : x
  2. Step 2: Convert to fraction form
    210,279/290,211.75 = 138,807.84/x
  3. Step 3: Cross multiply
    210,279x = 290,211.75 × 138,807.84
  4. Step 4: Simplify right side
    210,279x = 40,283,666,160.12
  5. Step 5: Solve for x
    x = 40,283,666,160.12/210,279
  6. Step 6: Final answer
    x = 191,572.46

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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.