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Finding the Fourth Proportional to 105,825.68, 146,046 and 69,953.48

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Solution

The fourth proportional to 105,825.68, 146,046 and 69,953.48 is: 96,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,825.68 : 146,046 = 69,953.48 : x
  2. Step 2: Convert to fraction form
    105,825.68/146,046 = 69,953.48/x
  3. Step 3: Cross multiply
    105,825.68x = 146,046 × 69,953.48
  4. Step 4: Simplify right side
    105,825.68x = 10,216,425,940.08
  5. Step 5: Solve for x
    x = 10,216,425,940.08/105,825.68
  6. Step 6: Final answer
    x = 96,540.14

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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.