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Finding the Fourth Proportional to 174,259.71, 261,405.16 and 67,641.17

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Solution

The fourth proportional to 174,259.71, 261,405.16 and 67,641.17 is: 101,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,259.71 : 261,405.16 = 67,641.17 : x
  2. Step 2: Convert to fraction form
    174,259.71/261,405.16 = 67,641.17/x
  3. Step 3: Cross multiply
    174,259.71x = 261,405.16 × 67,641.17
  4. Step 4: Simplify right side
    174,259.71x = 17,681,749,390.31
  5. Step 5: Solve for x
    x = 17,681,749,390.31/174,259.71
  6. Step 6: Final answer
    x = 101,467.80

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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.