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Finding the Fourth Proportional to 169,406.33, 233,761.70 and 97,810.02

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Solution

The fourth proportional to 169,406.33, 233,761.70 and 97,810.02 is: 134,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,406.33 : 233,761.70 = 97,810.02 : x
  2. Step 2: Convert to fraction form
    169,406.33/233,761.70 = 97,810.02/x
  3. Step 3: Cross multiply
    169,406.33x = 233,761.70 × 97,810.02
  4. Step 4: Simplify right side
    169,406.33x = 22,864,236,063.18
  5. Step 5: Solve for x
    x = 22,864,236,063.18/169,406.33
  6. Step 6: Final answer
    x = 134,966.84

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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.