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Finding the Fourth Proportional to 200,503.73, 300,802.75 and 58,352.07

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Solution

The fourth proportional to 200,503.73, 300,802.75 and 58,352.07 is: 87,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,503.73 : 300,802.75 = 58,352.07 : x
  2. Step 2: Convert to fraction form
    200,503.73/300,802.75 = 58,352.07/x
  3. Step 3: Cross multiply
    200,503.73x = 300,802.75 × 58,352.07
  4. Step 4: Simplify right side
    200,503.73x = 17,552,463,870.55
  5. Step 5: Solve for x
    x = 17,552,463,870.55/200,503.73
  6. Step 6: Final answer
    x = 87,541.83

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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.