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Finding the Fourth Proportional to 202,624.32, 303,750.64 and 77,871.36

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Solution

The fourth proportional to 202,624.32, 303,750.64 and 77,871.36 is: 116,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,624.32 : 303,750.64 = 77,871.36 : x
  2. Step 2: Convert to fraction form
    202,624.32/303,750.64 = 77,871.36/x
  3. Step 3: Cross multiply
    202,624.32x = 303,750.64 × 77,871.36
  4. Step 4: Simplify right side
    202,624.32x = 23,653,475,437.67
  5. Step 5: Solve for x
    x = 23,653,475,437.67/202,624.32
  6. Step 6: Final answer
    x = 116,735.62

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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.