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Finding the Fourth Proportional to 100,197, 138,271.86 and 55,485

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Solution

The fourth proportional to 100,197, 138,271.86 and 55,485 is: 76,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197 : 138,271.86 = 55,485 : x
  2. Step 2: Convert to fraction form
    100,197/138,271.86 = 55,485/x
  3. Step 3: Cross multiply
    100,197x = 138,271.86 × 55,485
  4. Step 4: Simplify right side
    100,197x = 7,672,014,152.10
  5. Step 5: Solve for x
    x = 7,672,014,152.10/100,197
  6. Step 6: Final answer
    x = 76,569.30

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