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Finding the Fourth Proportional to 202,334.40, 303,501.60 and 185,275.80

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Solution

The fourth proportional to 202,334.40, 303,501.60 and 185,275.80 is: 277,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,334.40 : 303,501.60 = 185,275.80 : x
  2. Step 2: Convert to fraction form
    202,334.40/303,501.60 = 185,275.80/x
  3. Step 3: Cross multiply
    202,334.40x = 303,501.60 × 185,275.80
  4. Step 4: Simplify right side
    202,334.40x = 56,231,501,741.28
  5. Step 5: Solve for x
    x = 56,231,501,741.28/202,334.40
  6. Step 6: Final answer
    x = 277,913.70

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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.