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Finding the Fourth Proportional to 169,092.10, 253,455.09 and 109,970.20

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Solution

The fourth proportional to 169,092.10, 253,455.09 and 109,970.20 is: 164,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,092.10 : 253,455.09 = 109,970.20 : x
  2. Step 2: Convert to fraction form
    169,092.10/253,455.09 = 109,970.20/x
  3. Step 3: Cross multiply
    169,092.10x = 253,455.09 × 109,970.20
  4. Step 4: Simplify right side
    169,092.10x = 27,872,506,938.32
  5. Step 5: Solve for x
    x = 27,872,506,938.32/169,092.10
  6. Step 6: Final answer
    x = 164,836.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.