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Finding the Fourth Proportional to 103,702.20, 143,111.70 and 58,381.80

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Solution

The fourth proportional to 103,702.20, 143,111.70 and 58,381.80 is: 80,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,702.20 : 143,111.70 = 58,381.80 : x
  2. Step 2: Convert to fraction form
    103,702.20/143,111.70 = 58,381.80/x
  3. Step 3: Cross multiply
    103,702.20x = 143,111.70 × 58,381.80
  4. Step 4: Simplify right side
    103,702.20x = 8,355,118,647.06
  5. Step 5: Solve for x
    x = 8,355,118,647.06/103,702.20
  6. Step 6: Final answer
    x = 80,568.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.