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Finding the Fourth Proportional to 97,101.16, 134,041.02 and 65,288.50

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Solution

The fourth proportional to 97,101.16, 134,041.02 and 65,288.50 is: 90,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,101.16 : 134,041.02 = 65,288.50 : x
  2. Step 2: Convert to fraction form
    97,101.16/134,041.02 = 65,288.50/x
  3. Step 3: Cross multiply
    97,101.16x = 134,041.02 × 65,288.50
  4. Step 4: Simplify right side
    97,101.16x = 8,751,337,134.27
  5. Step 5: Solve for x
    x = 8,751,337,134.27/97,101.16
  6. Step 6: Final answer
    x = 90,125.98

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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.