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Finding the Fourth Proportional to 161,535.66, 222,920.47 and 97,829.16

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Solution

The fourth proportional to 161,535.66, 222,920.47 and 97,829.16 is: 135,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,535.66 : 222,920.47 = 97,829.16 : x
  2. Step 2: Convert to fraction form
    161,535.66/222,920.47 = 97,829.16/x
  3. Step 3: Cross multiply
    161,535.66x = 222,920.47 × 97,829.16
  4. Step 4: Simplify right side
    161,535.66x = 21,808,122,326.91
  5. Step 5: Solve for x
    x = 21,808,122,326.91/161,535.66
  6. Step 6: Final answer
    x = 135,005.00

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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.