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Finding the Fourth Proportional to 104,509.68, 156,648.36 and 51,957.36

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Solution

The fourth proportional to 104,509.68, 156,648.36 and 51,957.36 is: 77,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,509.68 : 156,648.36 = 51,957.36 : x
  2. Step 2: Convert to fraction form
    104,509.68/156,648.36 = 51,957.36/x
  3. Step 3: Cross multiply
    104,509.68x = 156,648.36 × 51,957.36
  4. Step 4: Simplify right side
    104,509.68x = 8,139,035,233.93
  5. Step 5: Solve for x
    x = 8,139,035,233.93/104,509.68
  6. Step 6: Final answer
    x = 77,878.29

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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.