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Finding the Fourth Proportional to 161,536.16, 222,921.16 and 97,829.66

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Solution

The fourth proportional to 161,536.16, 222,921.16 and 97,829.66 is: 135,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,536.16 : 222,921.16 = 97,829.66 : x
  2. Step 2: Convert to fraction form
    161,536.16/222,921.16 = 97,829.66/x
  3. Step 3: Cross multiply
    161,536.16x = 222,921.16 × 97,829.66
  4. Step 4: Simplify right side
    161,536.16x = 21,808,301,289.61
  5. Step 5: Solve for x
    x = 21,808,301,289.61/161,536.16
  6. Step 6: Final answer
    x = 135,005.69

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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.