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Finding the Fourth Proportional to 103,841.98, 156,088.11 and 68,530.22

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Solution

The fourth proportional to 103,841.98, 156,088.11 and 68,530.22 is: 103,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,841.98 : 156,088.11 = 68,530.22 : x
  2. Step 2: Convert to fraction form
    103,841.98/156,088.11 = 68,530.22/x
  3. Step 3: Cross multiply
    103,841.98x = 156,088.11 × 68,530.22
  4. Step 4: Simplify right side
    103,841.98x = 10,696,753,164.89
  5. Step 5: Solve for x
    x = 10,696,753,164.89/103,841.98
  6. Step 6: Final answer
    x = 103,009.91

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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.