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Finding the Fourth Proportional to 164,706.90, 247,454.01 and 105,657.90

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Solution

The fourth proportional to 164,706.90, 247,454.01 and 105,657.90 is: 158,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,706.90 : 247,454.01 = 105,657.90 : x
  2. Step 2: Convert to fraction form
    164,706.90/247,454.01 = 105,657.90/x
  3. Step 3: Cross multiply
    164,706.90x = 247,454.01 × 105,657.90
  4. Step 4: Simplify right side
    164,706.90x = 26,145,471,043.18
  5. Step 5: Solve for x
    x = 26,145,471,043.18/164,706.90
  6. Step 6: Final answer
    x = 158,739.38

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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.