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Finding the Fourth Proportional to 169,065, 233,309.28 and 97,444.44

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Solution

The fourth proportional to 169,065, 233,309.28 and 97,444.44 is: 134,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,065 : 233,309.28 = 97,444.44 : x
  2. Step 2: Convert to fraction form
    169,065/233,309.28 = 97,444.44/x
  3. Step 3: Cross multiply
    169,065x = 233,309.28 × 97,444.44
  4. Step 4: Simplify right side
    169,065x = 22,734,692,136.40
  5. Step 5: Solve for x
    x = 22,734,692,136.40/169,065
  6. Step 6: Final answer
    x = 134,473.09

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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.