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Finding the Fourth Proportional to 97,098.36, 134,037.06 and 65,285.70

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Solution

The fourth proportional to 97,098.36, 134,037.06 and 65,285.70 is: 90,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098.36 : 134,037.06 = 65,285.70 : x
  2. Step 2: Convert to fraction form
    97,098.36/134,037.06 = 65,285.70/x
  3. Step 3: Cross multiply
    97,098.36x = 134,037.06 × 65,285.70
  4. Step 4: Simplify right side
    97,098.36x = 8,750,703,288.04
  5. Step 5: Solve for x
    x = 8,750,703,288.04/97,098.36
  6. Step 6: Final answer
    x = 90,122.05

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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.