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Finding the Fourth Proportional to 202,295.16, 303,530.22 and 77,607

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Solution

The fourth proportional to 202,295.16, 303,530.22 and 77,607 is: 116,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,295.16 : 303,530.22 = 77,607 : x
  2. Step 2: Convert to fraction form
    202,295.16/303,530.22 = 77,607/x
  3. Step 3: Cross multiply
    202,295.16x = 303,530.22 × 77,607
  4. Step 4: Simplify right side
    202,295.16x = 23,556,069,783.54
  5. Step 5: Solve for x
    x = 23,556,069,783.54/202,295.16
  6. Step 6: Final answer
    x = 116,444.06

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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.