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Finding the Fourth Proportional to 417,739.32, 626,621.13 and 102,196.14

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Solution

The fourth proportional to 417,739.32, 626,621.13 and 102,196.14 is: 153,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,739.32 : 626,621.13 = 102,196.14 : x
  2. Step 2: Convert to fraction form
    417,739.32/626,621.13 = 102,196.14/x
  3. Step 3: Cross multiply
    417,739.32x = 626,621.13 × 102,196.14
  4. Step 4: Simplify right side
    417,739.32x = 64,038,260,728.44
  5. Step 5: Solve for x
    x = 64,038,260,728.44/417,739.32
  6. Step 6: Final answer
    x = 153,297.18

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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.