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Finding the Fourth Proportional to 202,258.08, 303,430.32 and 77,598

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Solution

The fourth proportional to 202,258.08, 303,430.32 and 77,598 is: 116,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,258.08 : 303,430.32 = 77,598 : x
  2. Step 2: Convert to fraction form
    202,258.08/303,430.32 = 77,598/x
  3. Step 3: Cross multiply
    202,258.08x = 303,430.32 × 77,598
  4. Step 4: Simplify right side
    202,258.08x = 23,545,585,971.36
  5. Step 5: Solve for x
    x = 23,545,585,971.36/202,258.08
  6. Step 6: Final answer
    x = 116,413.57

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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.