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Finding the Fourth Proportional to 170,270.88, 234,980.02 and 105,775.66

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Solution

The fourth proportional to 170,270.88, 234,980.02 and 105,775.66 is: 145,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,270.88 : 234,980.02 = 105,775.66 : x
  2. Step 2: Convert to fraction form
    170,270.88/234,980.02 = 105,775.66/x
  3. Step 3: Cross multiply
    170,270.88x = 234,980.02 × 105,775.66
  4. Step 4: Simplify right side
    170,270.88x = 24,855,166,702.31
  5. Step 5: Solve for x
    x = 24,855,166,702.31/170,270.88
  6. Step 6: Final answer
    x = 145,974.27

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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.