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Finding the Fourth Proportional to 97,168.92, 133,810.78 and 84,416.28

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Solution

The fourth proportional to 97,168.92, 133,810.78 and 84,416.28 is: 116,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,168.92 : 133,810.78 = 84,416.28 : x
  2. Step 2: Convert to fraction form
    97,168.92/133,810.78 = 84,416.28/x
  3. Step 3: Cross multiply
    97,168.92x = 133,810.78 × 84,416.28
  4. Step 4: Simplify right side
    97,168.92x = 11,295,808,271.50
  5. Step 5: Solve for x
    x = 11,295,808,271.50/97,168.92
  6. Step 6: Final answer
    x = 116,249.19

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1.5x scale

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.