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Finding the Fourth Proportional to 109,041.04, 163,602.06 and 75,743.56

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Solution

The fourth proportional to 109,041.04, 163,602.06 and 75,743.56 is: 113,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,041.04 : 163,602.06 = 75,743.56 : x
  2. Step 2: Convert to fraction form
    109,041.04/163,602.06 = 75,743.56/x
  3. Step 3: Cross multiply
    109,041.04x = 163,602.06 × 75,743.56
  4. Step 4: Simplify right side
    109,041.04x = 12,391,802,447.73
  5. Step 5: Solve for x
    x = 12,391,802,447.73/109,041.04
  6. Step 6: Final answer
    x = 113,643.47

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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.