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Finding the Fourth Proportional to 103,095, 142,271.37 and 60,100.02

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Solution

The fourth proportional to 103,095, 142,271.37 and 60,100.02 is: 82,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,095 : 142,271.37 = 60,100.02 : x
  2. Step 2: Convert to fraction form
    103,095/142,271.37 = 60,100.02/x
  3. Step 3: Cross multiply
    103,095x = 142,271.37 × 60,100.02
  4. Step 4: Simplify right side
    103,095x = 8,550,512,182.43
  5. Step 5: Solve for x
    x = 8,550,512,182.43/103,095
  6. Step 6: Final answer
    x = 82,938.18

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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.