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Finding the Fourth Proportional to 103,985.39, 143,185.28 and 85,768.40

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Solution

The fourth proportional to 103,985.39, 143,185.28 and 85,768.40 is: 118,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,985.39 : 143,185.28 = 85,768.40 : x
  2. Step 2: Convert to fraction form
    103,985.39/143,185.28 = 85,768.40/x
  3. Step 3: Cross multiply
    103,985.39x = 143,185.28 × 85,768.40
  4. Step 4: Simplify right side
    103,985.39x = 12,280,771,224.38
  5. Step 5: Solve for x
    x = 12,280,771,224.38/103,985.39
  6. Step 6: Final answer
    x = 118,100.94

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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.