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Finding the Fourth Proportional to 200,355.29, 300,463.74 and 58,162.01

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Solution

The fourth proportional to 200,355.29, 300,463.74 and 58,162.01 is: 87,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,355.29 : 300,463.74 = 58,162.01 : x
  2. Step 2: Convert to fraction form
    200,355.29/300,463.74 = 58,162.01/x
  3. Step 3: Cross multiply
    200,355.29x = 300,463.74 × 58,162.01
  4. Step 4: Simplify right side
    200,355.29x = 17,475,574,759.71
  5. Step 5: Solve for x
    x = 17,475,574,759.71/200,355.29
  6. Step 6: Final answer
    x = 87,222.93

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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.