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Finding the Fourth Proportional to 210,855.60, 290,981.43 and 115,362

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Solution

The fourth proportional to 210,855.60, 290,981.43 and 115,362 is: 159,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,855.60 : 290,981.43 = 115,362 : x
  2. Step 2: Convert to fraction form
    210,855.60/290,981.43 = 115,362/x
  3. Step 3: Cross multiply
    210,855.60x = 290,981.43 × 115,362
  4. Step 4: Simplify right side
    210,855.60x = 33,568,199,727.66
  5. Step 5: Solve for x
    x = 33,568,199,727.66/210,855.60
  6. Step 6: Final answer
    x = 159,199.94

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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.