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Finding the Fourth Proportional to 205,898.60, 284,126.28 and 115,239.08

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Solution

The fourth proportional to 205,898.60, 284,126.28 and 115,239.08 is: 159,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,898.60 : 284,126.28 = 115,239.08 : x
  2. Step 2: Convert to fraction form
    205,898.60/284,126.28 = 115,239.08/x
  3. Step 3: Cross multiply
    205,898.60x = 284,126.28 × 115,239.08
  4. Step 4: Simplify right side
    205,898.60x = 32,742,451,111.02
  5. Step 5: Solve for x
    x = 32,742,451,111.02/205,898.60
  6. Step 6: Final answer
    x = 159,022.21

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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.