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Finding the Fourth Proportional to 202,176.40, 303,264.60 and 185,117.80

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Solution

The fourth proportional to 202,176.40, 303,264.60 and 185,117.80 is: 277,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,176.40 : 303,264.60 = 185,117.80 : x
  2. Step 2: Convert to fraction form
    202,176.40/303,264.60 = 185,117.80/x
  3. Step 3: Cross multiply
    202,176.40x = 303,264.60 × 185,117.80
  4. Step 4: Simplify right side
    202,176.40x = 56,139,675,569.88
  5. Step 5: Solve for x
    x = 56,139,675,569.88/202,176.40
  6. Step 6: Final answer
    x = 277,676.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.