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Finding the Fourth Proportional to 202,004.48, 303,004.84 and 77,345.48

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Solution

The fourth proportional to 202,004.48, 303,004.84 and 77,345.48 is: 116,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,004.48 : 303,004.84 = 77,345.48 : x
  2. Step 2: Convert to fraction form
    202,004.48/303,004.84 = 77,345.48/x
  3. Step 3: Cross multiply
    202,004.48x = 303,004.84 × 77,345.48
  4. Step 4: Simplify right side
    202,004.48x = 23,436,054,792.12
  5. Step 5: Solve for x
    x = 23,436,054,792.12/202,004.48
  6. Step 6: Final answer
    x = 116,017.50

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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.