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Finding the Fourth Proportional to 106,543.30, 159,669.15 and 70,903.30

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Solution

The fourth proportional to 106,543.30, 159,669.15 and 70,903.30 is: 106,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.30 : 159,669.15 = 70,903.30 : x
  2. Step 2: Convert to fraction form
    106,543.30/159,669.15 = 70,903.30/x
  3. Step 3: Cross multiply
    106,543.30x = 159,669.15 × 70,903.30
  4. Step 4: Simplify right side
    106,543.30x = 11,321,069,643.20
  5. Step 5: Solve for x
    x = 11,321,069,643.20/106,543.30
  6. Step 6: Final answer
    x = 106,257.92

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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.