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Finding the Fourth Proportional to 302,180.24, 453,295.92 and 91,820

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Solution

The fourth proportional to 302,180.24, 453,295.92 and 91,820 is: 137,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,180.24 : 453,295.92 = 91,820 : x
  2. Step 2: Convert to fraction form
    302,180.24/453,295.92 = 91,820/x
  3. Step 3: Cross multiply
    302,180.24x = 453,295.92 × 91,820
  4. Step 4: Simplify right side
    302,180.24x = 41,621,631,374.40
  5. Step 5: Solve for x
    x = 41,621,631,374.40/302,180.24
  6. Step 6: Final answer
    x = 137,737.77

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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.