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Finding the Fourth Proportional to 97,894.76, 135,159.77 and 75,193.16

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Solution

The fourth proportional to 97,894.76, 135,159.77 and 75,193.16 is: 103,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,894.76 : 135,159.77 = 75,193.16 : x
  2. Step 2: Convert to fraction form
    97,894.76/135,159.77 = 75,193.16/x
  3. Step 3: Cross multiply
    97,894.76x = 135,159.77 × 75,193.16
  4. Step 4: Simplify right side
    97,894.76x = 10,163,090,211.17
  5. Step 5: Solve for x
    x = 10,163,090,211.17/97,894.76
  6. Step 6: Final answer
    x = 103,816.49

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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.