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Finding the Fourth Proportional to 169,124.96, 233,394.16 and 102,044

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Solution

The fourth proportional to 169,124.96, 233,394.16 and 102,044 is: 140,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,124.96 : 233,394.16 = 102,044 : x
  2. Step 2: Convert to fraction form
    169,124.96/233,394.16 = 102,044/x
  3. Step 3: Cross multiply
    169,124.96x = 233,394.16 × 102,044
  4. Step 4: Simplify right side
    169,124.96x = 23,816,473,663.04
  5. Step 5: Solve for x
    x = 23,816,473,663.04/169,124.96
  6. Step 6: Final answer
    x = 140,821.75

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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.