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Finding the Fourth Proportional to 205,962.66, 284,203.53 and 115,311.51

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Solution

The fourth proportional to 205,962.66, 284,203.53 and 115,311.51 is: 159,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,962.66 : 284,203.53 = 115,311.51 : x
  2. Step 2: Convert to fraction form
    205,962.66/284,203.53 = 115,311.51/x
  3. Step 3: Cross multiply
    205,962.66x = 284,203.53 × 115,311.51
  4. Step 4: Simplify right side
    205,962.66x = 32,771,938,191.63
  5. Step 5: Solve for x
    x = 32,771,938,191.63/205,962.66
  6. Step 6: Final answer
    x = 159,115.92

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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.