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Finding the Fourth Proportional to 200,357.29, 300,466.74 and 58,164.01

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Solution

The fourth proportional to 200,357.29, 300,466.74 and 58,164.01 is: 87,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,357.29 : 300,466.74 = 58,164.01 : x
  2. Step 2: Convert to fraction form
    200,357.29/300,466.74 = 58,164.01/x
  3. Step 3: Cross multiply
    200,357.29x = 300,466.74 × 58,164.01
  4. Step 4: Simplify right side
    200,357.29x = 17,476,350,470.03
  5. Step 5: Solve for x
    x = 17,476,350,470.03/200,357.29
  6. Step 6: Final answer
    x = 87,225.93

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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.