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Finding the Fourth Proportional to 103,977.54, 156,053.79 and 97,416.54

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Solution

The fourth proportional to 103,977.54, 156,053.79 and 97,416.54 is: 146,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977.54 : 156,053.79 = 97,416.54 : x
  2. Step 2: Convert to fraction form
    103,977.54/156,053.79 = 97,416.54/x
  3. Step 3: Cross multiply
    103,977.54x = 156,053.79 × 97,416.54
  4. Step 4: Simplify right side
    103,977.54x = 15,202,220,275.69
  5. Step 5: Solve for x
    x = 15,202,220,275.69/103,977.54
  6. Step 6: Final answer
    x = 146,206.77

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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.