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Finding the Fourth Proportional to 110,206.31, 152,084.66 and 59,905.31

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Solution

The fourth proportional to 110,206.31, 152,084.66 and 59,905.31 is: 82,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,206.31 : 152,084.66 = 59,905.31 : x
  2. Step 2: Convert to fraction form
    110,206.31/152,084.66 = 59,905.31/x
  3. Step 3: Cross multiply
    110,206.31x = 152,084.66 × 59,905.31
  4. Step 4: Simplify right side
    110,206.31x = 9,110,677,643.59
  5. Step 5: Solve for x
    x = 9,110,677,643.59/110,206.31
  6. Step 6: Final answer
    x = 82,669.30

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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.