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Finding the Fourth Proportional to 100,282.32, 150,341.40 and 50,302.08

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Solution

The fourth proportional to 100,282.32, 150,341.40 and 50,302.08 is: 75,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,282.32 : 150,341.40 = 50,302.08 : x
  2. Step 2: Convert to fraction form
    100,282.32/150,341.40 = 50,302.08/x
  3. Step 3: Cross multiply
    100,282.32x = 150,341.40 × 50,302.08
  4. Step 4: Simplify right side
    100,282.32x = 7,562,485,130.11
  5. Step 5: Solve for x
    x = 7,562,485,130.11/100,282.32
  6. Step 6: Final answer
    x = 75,411.95

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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.