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Finding the Fourth Proportional to 210,224.78, 290,426.14 and 137,799.58

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Solution

The fourth proportional to 210,224.78, 290,426.14 and 137,799.58 is: 190,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,224.78 : 290,426.14 = 137,799.58 : x
  2. Step 2: Convert to fraction form
    210,224.78/290,426.14 = 137,799.58/x
  3. Step 3: Cross multiply
    210,224.78x = 290,426.14 × 137,799.58
  4. Step 4: Simplify right side
    210,224.78x = 40,020,600,113.02
  5. Step 5: Solve for x
    x = 40,020,600,113.02/210,224.78
  6. Step 6: Final answer
    x = 190,370.52

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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.