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Finding the Fourth Proportional to 98,712.82, 147,937.98 and 56,605.78

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Solution

The fourth proportional to 98,712.82, 147,937.98 and 56,605.78 is: 84,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712.82 : 147,937.98 = 56,605.78 : x
  2. Step 2: Convert to fraction form
    98,712.82/147,937.98 = 56,605.78/x
  3. Step 3: Cross multiply
    98,712.82x = 147,937.98 × 56,605.78
  4. Step 4: Simplify right side
    98,712.82x = 8,374,144,749.52
  5. Step 5: Solve for x
    x = 8,374,144,749.52/98,712.82
  6. Step 6: Final answer
    x = 84,833.41

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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.