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Finding the Fourth Proportional to 202,351.86, 303,291.45 and 152,271

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Solution

The fourth proportional to 202,351.86, 303,291.45 and 152,271 is: 228,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,351.86 : 303,291.45 = 152,271 : x
  2. Step 2: Convert to fraction form
    202,351.86/303,291.45 = 152,271/x
  3. Step 3: Cross multiply
    202,351.86x = 303,291.45 × 152,271
  4. Step 4: Simplify right side
    202,351.86x = 46,182,492,382.95
  5. Step 5: Solve for x
    x = 46,182,492,382.95/202,351.86
  6. Step 6: Final answer
    x = 228,228.65

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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.