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Finding the Fourth Proportional to 202,356.95, 283,714.45 and 202,356.95

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Solution

The fourth proportional to 202,356.95, 283,714.45 and 202,356.95 is: 283,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,356.95 : 283,714.45 = 202,356.95 : x
  2. Step 2: Convert to fraction form
    202,356.95/283,714.45 = 202,356.95/x
  3. Step 3: Cross multiply
    202,356.95x = 283,714.45 × 202,356.95
  4. Step 4: Simplify right side
    202,356.95x = 57,411,590,772.93
  5. Step 5: Solve for x
    x = 57,411,590,772.93/202,356.95
  6. Step 6: Final answer
    x = 283,714.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.