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Finding the Fourth Proportional to 138,322.00, 190,654.91 and 97,984.00

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Solution

The fourth proportional to 138,322.00, 190,654.91 and 97,984.00 is: 135,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,322.00 : 190,654.91 = 97,984.00 : x
  2. Step 2: Convert to fraction form
    138,322.00/190,654.91 = 97,984.00/x
  3. Step 3: Cross multiply
    138,322.00x = 190,654.91 × 97,984.00
  4. Step 4: Simplify right side
    138,322.00x = 18,681,129,748.17
  5. Step 5: Solve for x
    x = 18,681,129,748.17/138,322.00
  6. Step 6: Final answer
    x = 135,055.38

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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.