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Finding the Fourth Proportional to 164,853.42, 247,279.51 and 59,647.78

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Solution

The fourth proportional to 164,853.42, 247,279.51 and 59,647.78 is: 89,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,853.42 : 247,279.51 = 59,647.78 : x
  2. Step 2: Convert to fraction form
    164,853.42/247,279.51 = 59,647.78/x
  3. Step 3: Cross multiply
    164,853.42x = 247,279.51 × 59,647.78
  4. Step 4: Simplify right side
    164,853.42x = 14,749,673,810.99
  5. Step 5: Solve for x
    x = 14,749,673,810.99/164,853.42
  6. Step 6: Final answer
    x = 89,471.45

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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.