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Finding the Fourth Proportional to 102,046.84, 140,812.61 and 60,647.39

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Solution

The fourth proportional to 102,046.84, 140,812.61 and 60,647.39 is: 83,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,046.84 : 140,812.61 = 60,647.39 : x
  2. Step 2: Convert to fraction form
    102,046.84/140,812.61 = 60,647.39/x
  3. Step 3: Cross multiply
    102,046.84x = 140,812.61 × 60,647.39
  4. Step 4: Simplify right side
    102,046.84x = 8,539,917,492.34
  5. Step 5: Solve for x
    x = 8,539,917,492.34/102,046.84
  6. Step 6: Final answer
    x = 83,686.25

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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.