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Finding the Fourth Proportional to 205,570.53, 283,583.43 and 137,590.35

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Solution

The fourth proportional to 205,570.53, 283,583.43 and 137,590.35 is: 189,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,570.53 : 283,583.43 = 137,590.35 : x
  2. Step 2: Convert to fraction form
    205,570.53/283,583.43 = 137,590.35/x
  3. Step 3: Cross multiply
    205,570.53x = 283,583.43 × 137,590.35
  4. Step 4: Simplify right side
    205,570.53x = 39,018,343,387.90
  5. Step 5: Solve for x
    x = 39,018,343,387.90/205,570.53
  6. Step 6: Final answer
    x = 189,805.14

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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.