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Finding the Fourth Proportional to 97,810.83, 135,041.67 and 67,234.77

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Solution

The fourth proportional to 97,810.83, 135,041.67 and 67,234.77 is: 92,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,810.83 : 135,041.67 = 67,234.77 : x
  2. Step 2: Convert to fraction form
    97,810.83/135,041.67 = 67,234.77/x
  3. Step 3: Cross multiply
    97,810.83x = 135,041.67 × 67,234.77
  4. Step 4: Simplify right side
    97,810.83x = 9,079,495,622.87
  5. Step 5: Solve for x
    x = 9,079,495,622.87/97,810.83
  6. Step 6: Final answer
    x = 92,827.10

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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.