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Finding the Fourth Proportional to 175,946.80, 263,916.48 and 42,827.80

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Solution

The fourth proportional to 175,946.80, 263,916.48 and 42,827.80 is: 64,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,946.80 : 263,916.48 = 42,827.80 : x
  2. Step 2: Convert to fraction form
    175,946.80/263,916.48 = 42,827.80/x
  3. Step 3: Cross multiply
    175,946.80x = 263,916.48 × 42,827.80
  4. Step 4: Simplify right side
    175,946.80x = 11,302,962,222.14
  5. Step 5: Solve for x
    x = 11,302,962,222.14/175,946.80
  6. Step 6: Final answer
    x = 64,240.79

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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.