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Finding the Fourth Proportional to 174,897.91, 262,355.06 and 56,578.48

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Solution

The fourth proportional to 174,897.91, 262,355.06 and 56,578.48 is: 84,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,897.91 : 262,355.06 = 56,578.48 : x
  2. Step 2: Convert to fraction form
    174,897.91/262,355.06 = 56,578.48/x
  3. Step 3: Cross multiply
    174,897.91x = 262,355.06 × 56,578.48
  4. Step 4: Simplify right side
    174,897.91x = 14,843,649,203.33
  5. Step 5: Solve for x
    x = 14,843,649,203.33/174,897.91
  6. Step 6: Final answer
    x = 84,870.36

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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.