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Finding the Fourth Proportional to 105,283.68, 157,926.18 and 42,109.08

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Solution

The fourth proportional to 105,283.68, 157,926.18 and 42,109.08 is: 63,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,283.68 : 157,926.18 = 42,109.08 : x
  2. Step 2: Convert to fraction form
    105,283.68/157,926.18 = 42,109.08/x
  3. Step 3: Cross multiply
    105,283.68x = 157,926.18 × 42,109.08
  4. Step 4: Simplify right side
    105,283.68x = 6,650,126,147.71
  5. Step 5: Solve for x
    x = 6,650,126,147.71/105,283.68
  6. Step 6: Final answer
    x = 63,163.88

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