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Finding the Fourth Proportional to 205,058.11, 282,952.74 and 114,400.89

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Solution

The fourth proportional to 205,058.11, 282,952.74 and 114,400.89 is: 157,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,058.11 : 282,952.74 = 114,400.89 : x
  2. Step 2: Convert to fraction form
    205,058.11/282,952.74 = 114,400.89/x
  3. Step 3: Cross multiply
    205,058.11x = 282,952.74 × 114,400.89
  4. Step 4: Simplify right side
    205,058.11x = 32,370,045,283.94
  5. Step 5: Solve for x
    x = 32,370,045,283.94/205,058.11
  6. Step 6: Final answer
    x = 157,857.91

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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.