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Finding the Fourth Proportional to 105,237.68, 157,855.32 and 30,355.36

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Solution

The fourth proportional to 105,237.68, 157,855.32 and 30,355.36 is: 45,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,237.68 : 157,855.32 = 30,355.36 : x
  2. Step 2: Convert to fraction form
    105,237.68/157,855.32 = 30,355.36/x
  3. Step 3: Cross multiply
    105,237.68x = 157,855.32 × 30,355.36
  4. Step 4: Simplify right side
    105,237.68x = 4,791,754,277.24
  5. Step 5: Solve for x
    x = 4,791,754,277.24/105,237.68
  6. Step 6: Final answer
    x = 45,532.69

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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.