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Finding the Fourth Proportional to 100,782.08, 139,079.36 and 55,461.12

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Solution

The fourth proportional to 100,782.08, 139,079.36 and 55,461.12 is: 76,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782.08 : 139,079.36 = 55,461.12 : x
  2. Step 2: Convert to fraction form
    100,782.08/139,079.36 = 55,461.12/x
  3. Step 3: Cross multiply
    100,782.08x = 139,079.36 × 55,461.12
  4. Step 4: Simplify right side
    100,782.08x = 7,713,497,074.48
  5. Step 5: Solve for x
    x = 7,713,497,074.48/100,782.08
  6. Step 6: Final answer
    x = 76,536.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.