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Finding the Fourth Proportional to 205,089.30, 307,115.55 and 163,617.30

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Solution

The fourth proportional to 205,089.30, 307,115.55 and 163,617.30 is: 245,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,089.30 : 307,115.55 = 163,617.30 : x
  2. Step 2: Convert to fraction form
    205,089.30/307,115.55 = 163,617.30/x
  3. Step 3: Cross multiply
    205,089.30x = 307,115.55 × 163,617.30
  4. Step 4: Simplify right side
    205,089.30x = 50,249,417,079.02
  5. Step 5: Solve for x
    x = 50,249,417,079.02/205,089.30
  6. Step 6: Final answer
    x = 245,012.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.