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Finding the Fourth Proportional to 102,082.61, 153,103.94 and 97,019.24

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Solution

The fourth proportional to 102,082.61, 153,103.94 and 97,019.24 is: 145,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,082.61 : 153,103.94 = 97,019.24 : x
  2. Step 2: Convert to fraction form
    102,082.61/153,103.94 = 97,019.24/x
  3. Step 3: Cross multiply
    102,082.61x = 153,103.94 × 97,019.24
  4. Step 4: Simplify right side
    102,082.61x = 14,854,027,013.01
  5. Step 5: Solve for x
    x = 14,854,027,013.01/102,082.61
  6. Step 6: Final answer
    x = 145,509.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.