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Finding the Fourth Proportional to 211,534.40, 317,219.28 and 106,280

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Solution

The fourth proportional to 211,534.40, 317,219.28 and 106,280 is: 159,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,534.40 : 317,219.28 = 106,280 : x
  2. Step 2: Convert to fraction form
    211,534.40/317,219.28 = 106,280/x
  3. Step 3: Cross multiply
    211,534.40x = 317,219.28 × 106,280
  4. Step 4: Simplify right side
    211,534.40x = 33,714,065,078.40
  5. Step 5: Solve for x
    x = 33,714,065,078.40/211,534.40
  6. Step 6: Final answer
    x = 159,378.64

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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.