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Finding the Fourth Proportional to 105,955.80, 146,222.40 and 58,210.20

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Solution

The fourth proportional to 105,955.80, 146,222.40 and 58,210.20 is: 80,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,955.80 : 146,222.40 = 58,210.20 : x
  2. Step 2: Convert to fraction form
    105,955.80/146,222.40 = 58,210.20/x
  3. Step 3: Cross multiply
    105,955.80x = 146,222.40 × 58,210.20
  4. Step 4: Simplify right side
    105,955.80x = 8,511,635,148.48
  5. Step 5: Solve for x
    x = 8,511,635,148.48/105,955.80
  6. Step 6: Final answer
    x = 80,331.94

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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.