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Finding the Fourth Proportional to 201,697.10, 302,545.65 and 145,709.90

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Solution

The fourth proportional to 201,697.10, 302,545.65 and 145,709.90 is: 218,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,697.10 : 302,545.65 = 145,709.90 : x
  2. Step 2: Convert to fraction form
    201,697.10/302,545.65 = 145,709.90/x
  3. Step 3: Cross multiply
    201,697.10x = 302,545.65 × 145,709.90
  4. Step 4: Simplify right side
    201,697.10x = 44,083,896,406.94
  5. Step 5: Solve for x
    x = 44,083,896,406.94/201,697.10
  6. Step 6: Final answer
    x = 218,564.85

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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.