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Finding the Fourth Proportional to 310,210.08, 465,296.68 and 110,519.88

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Solution

The fourth proportional to 310,210.08, 465,296.68 and 110,519.88 is: 165,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,210.08 : 465,296.68 = 110,519.88 : x
  2. Step 2: Convert to fraction form
    310,210.08/465,296.68 = 110,519.88/x
  3. Step 3: Cross multiply
    310,210.08x = 465,296.68 × 110,519.88
  4. Step 4: Simplify right side
    310,210.08x = 51,424,533,238.00
  5. Step 5: Solve for x
    x = 51,424,533,238.00/310,210.08
  6. Step 6: Final answer
    x = 165,773.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.