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Finding the Fourth Proportional to 104,713.99, 144,506.41 and 56,967.23

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Solution

The fourth proportional to 104,713.99, 144,506.41 and 56,967.23 is: 78,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,713.99 : 144,506.41 = 56,967.23 : x
  2. Step 2: Convert to fraction form
    104,713.99/144,506.41 = 56,967.23/x
  3. Step 3: Cross multiply
    104,713.99x = 144,506.41 × 56,967.23
  4. Step 4: Simplify right side
    104,713.99x = 8,232,130,113.79
  5. Step 5: Solve for x
    x = 8,232,130,113.79/104,713.99
  6. Step 6: Final answer
    x = 78,615.38

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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.