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Finding the Fourth Proportional to 104,026.30, 156,039.45 and 97,465.30

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Solution

The fourth proportional to 104,026.30, 156,039.45 and 97,465.30 is: 146,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,026.30 : 156,039.45 = 97,465.30 : x
  2. Step 2: Convert to fraction form
    104,026.30/156,039.45 = 97,465.30/x
  3. Step 3: Cross multiply
    104,026.30x = 156,039.45 × 97,465.30
  4. Step 4: Simplify right side
    104,026.30x = 15,208,431,806.09
  5. Step 5: Solve for x
    x = 15,208,431,806.09/104,026.30
  6. Step 6: Final answer
    x = 146,197.95

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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.