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Finding the Fourth Proportional to 210,386.57, 290,337.21 and 128,728.44

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Solution

The fourth proportional to 210,386.57, 290,337.21 and 128,728.44 is: 177,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,386.57 : 290,337.21 = 128,728.44 : x
  2. Step 2: Convert to fraction form
    210,386.57/290,337.21 = 128,728.44/x
  3. Step 3: Cross multiply
    210,386.57x = 290,337.21 × 128,728.44
  4. Step 4: Simplify right side
    210,386.57x = 37,374,656,117.25
  5. Step 5: Solve for x
    x = 37,374,656,117.25/210,386.57
  6. Step 6: Final answer
    x = 177,647.54

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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.