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Finding the Fourth Proportional to 105,957, 146,220.76 and 58,210.44

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Solution

The fourth proportional to 105,957, 146,220.76 and 58,210.44 is: 80,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,957 : 146,220.76 = 58,210.44 : x
  2. Step 2: Convert to fraction form
    105,957/146,220.76 = 58,210.44/x
  3. Step 3: Cross multiply
    105,957x = 146,220.76 × 58,210.44
  4. Step 4: Simplify right side
    105,957x = 8,511,574,776.73
  5. Step 5: Solve for x
    x = 8,511,574,776.73/105,957
  6. Step 6: Final answer
    x = 80,330.46

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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.