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Finding the Fourth Proportional to 158,127.36, 218,266.62 and 104,460

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Solution

The fourth proportional to 158,127.36, 218,266.62 and 104,460 is: 144,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,127.36 : 218,266.62 = 104,460 : x
  2. Step 2: Convert to fraction form
    158,127.36/218,266.62 = 104,460/x
  3. Step 3: Cross multiply
    158,127.36x = 218,266.62 × 104,460
  4. Step 4: Simplify right side
    158,127.36x = 22,800,131,125.20
  5. Step 5: Solve for x
    x = 22,800,131,125.20/158,127.36
  6. Step 6: Final answer
    x = 144,188.40

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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.