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Finding the Fourth Proportional to 105,998.63, 159,070.84 and 43,669.13

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Solution

The fourth proportional to 105,998.63, 159,070.84 and 43,669.13 is: 65,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,998.63 : 159,070.84 = 43,669.13 : x
  2. Step 2: Convert to fraction form
    105,998.63/159,070.84 = 43,669.13/x
  3. Step 3: Cross multiply
    105,998.63x = 159,070.84 × 43,669.13
  4. Step 4: Simplify right side
    105,998.63x = 6,946,484,286.64
  5. Step 5: Solve for x
    x = 6,946,484,286.64/105,998.63
  6. Step 6: Final answer
    x = 65,533.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.