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Finding the Fourth Proportional to 101,007.92, 150,319.29 and 97,644.20

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Solution

The fourth proportional to 101,007.92, 150,319.29 and 97,644.20 is: 145,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,007.92 : 150,319.29 = 97,644.20 : x
  2. Step 2: Convert to fraction form
    101,007.92/150,319.29 = 97,644.20/x
  3. Step 3: Cross multiply
    101,007.92x = 150,319.29 × 97,644.20
  4. Step 4: Simplify right side
    101,007.92x = 14,677,806,431.19
  5. Step 5: Solve for x
    x = 14,677,806,431.19/101,007.92
  6. Step 6: Final answer
    x = 145,313.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.