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Finding the Fourth Proportional to 205,055.90, 307,583.85 and 202,291.10

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Solution

The fourth proportional to 205,055.90, 307,583.85 and 202,291.10 is: 303,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,055.90 : 307,583.85 = 202,291.10 : x
  2. Step 2: Convert to fraction form
    205,055.90/307,583.85 = 202,291.10/x
  3. Step 3: Cross multiply
    205,055.90x = 307,583.85 × 202,291.10
  4. Step 4: Simplify right side
    205,055.90x = 62,221,475,358.74
  5. Step 5: Solve for x
    x = 62,221,475,358.74/205,055.90
  6. Step 6: Final answer
    x = 303,436.65

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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.