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Finding the Fourth Proportional to 238,767.48, 357,971.40 and 205,875

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Solution

The fourth proportional to 238,767.48, 357,971.40 and 205,875 is: 308,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,767.48 : 357,971.40 = 205,875 : x
  2. Step 2: Convert to fraction form
    238,767.48/357,971.40 = 205,875/x
  3. Step 3: Cross multiply
    238,767.48x = 357,971.40 × 205,875
  4. Step 4: Simplify right side
    238,767.48x = 73,697,361,975
  5. Step 5: Solve for x
    x = 73,697,361,975/238,767.48
  6. Step 6: Final answer
    x = 308,657.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.