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Finding the Fourth Proportional to 174,643.10, 261,964.65 and 43,315.10

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Solution

The fourth proportional to 174,643.10, 261,964.65 and 43,315.10 is: 64,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,643.10 : 261,964.65 = 43,315.10 : x
  2. Step 2: Convert to fraction form
    174,643.10/261,964.65 = 43,315.10/x
  3. Step 3: Cross multiply
    174,643.10x = 261,964.65 × 43,315.10
  4. Step 4: Simplify right side
    174,643.10x = 11,347,025,011.22
  5. Step 5: Solve for x
    x = 11,347,025,011.22/174,643.10
  6. Step 6: Final answer
    x = 64,972.65

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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.