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Finding the Fourth Proportional to 204,926.95, 282,798.63 and 114,283.01

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Solution

The fourth proportional to 204,926.95, 282,798.63 and 114,283.01 is: 157,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,926.95 : 282,798.63 = 114,283.01 : x
  2. Step 2: Convert to fraction form
    204,926.95/282,798.63 = 114,283.01/x
  3. Step 3: Cross multiply
    204,926.95x = 282,798.63 × 114,283.01
  4. Step 4: Simplify right side
    204,926.95x = 32,319,078,306.78
  5. Step 5: Solve for x
    x = 32,319,078,306.78/204,926.95
  6. Step 6: Final answer
    x = 157,710.24

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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.