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Finding the Fourth Proportional to 100,436.17, 138,597.22 and 55,113.01

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Solution

The fourth proportional to 100,436.17, 138,597.22 and 55,113.01 is: 76,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,436.17 : 138,597.22 = 55,113.01 : x
  2. Step 2: Convert to fraction form
    100,436.17/138,597.22 = 55,113.01/x
  3. Step 3: Cross multiply
    100,436.17x = 138,597.22 × 55,113.01
  4. Step 4: Simplify right side
    100,436.17x = 7,638,509,971.83
  5. Step 5: Solve for x
    x = 7,638,509,971.83/100,436.17
  6. Step 6: Final answer
    x = 76,053.38

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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.