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Finding the Fourth Proportional to 205,210.20, 307,325.70 and 99,690.20

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Solution

The fourth proportional to 205,210.20, 307,325.70 and 99,690.20 is: 149,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,210.20 : 307,325.70 = 99,690.20 : x
  2. Step 2: Convert to fraction form
    205,210.20/307,325.70 = 99,690.20/x
  3. Step 3: Cross multiply
    205,210.20x = 307,325.70 × 99,690.20
  4. Step 4: Simplify right side
    205,210.20x = 30,637,360,498.14
  5. Step 5: Solve for x
    x = 30,637,360,498.14/205,210.20
  6. Step 6: Final answer
    x = 149,297.45

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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.