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Finding the Fourth Proportional to 160,116.84, 220,991.70 and 105,573.06

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Solution

The fourth proportional to 160,116.84, 220,991.70 and 105,573.06 is: 145,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,116.84 : 220,991.70 = 105,573.06 : x
  2. Step 2: Convert to fraction form
    160,116.84/220,991.70 = 105,573.06/x
  3. Step 3: Cross multiply
    160,116.84x = 220,991.70 × 105,573.06
  4. Step 4: Simplify right side
    160,116.84x = 23,330,770,003.60
  5. Step 5: Solve for x
    x = 23,330,770,003.60/160,116.84
  6. Step 6: Final answer
    x = 145,710.91

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1.5x scale

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.