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Finding the Fourth Proportional to 162,398.64, 223,998.93 and 105,886.56

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Solution

The fourth proportional to 162,398.64, 223,998.93 and 105,886.56 is: 146,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,398.64 : 223,998.93 = 105,886.56 : x
  2. Step 2: Convert to fraction form
    162,398.64/223,998.93 = 105,886.56/x
  3. Step 3: Cross multiply
    162,398.64x = 223,998.93 × 105,886.56
  4. Step 4: Simplify right side
    162,398.64x = 23,718,476,141.38
  5. Step 5: Solve for x
    x = 23,718,476,141.38/162,398.64
  6. Step 6: Final answer
    x = 146,050.95

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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.