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Finding the Fourth Proportional to 201,981.80, 302,535.30 and 175,737.80

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Solution

The fourth proportional to 201,981.80, 302,535.30 and 175,737.80 is: 263,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,981.80 : 302,535.30 = 175,737.80 : x
  2. Step 2: Convert to fraction form
    201,981.80/302,535.30 = 175,737.80/x
  3. Step 3: Cross multiply
    201,981.80x = 302,535.30 × 175,737.80
  4. Step 4: Simplify right side
    201,981.80x = 53,166,888,044.34
  5. Step 5: Solve for x
    x = 53,166,888,044.34/201,981.80
  6. Step 6: Final answer
    x = 263,226.13

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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.