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Finding the Fourth Proportional to 202,011.38, 278,777.64 and 111,370.67

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Solution

The fourth proportional to 202,011.38, 278,777.64 and 111,370.67 is: 153,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,011.38 : 278,777.64 = 111,370.67 : x
  2. Step 2: Convert to fraction form
    202,011.38/278,777.64 = 111,370.67/x
  3. Step 3: Cross multiply
    202,011.38x = 278,777.64 × 111,370.67
  4. Step 4: Simplify right side
    202,011.38x = 31,047,652,547.82
  5. Step 5: Solve for x
    x = 31,047,652,547.82/202,011.38
  6. Step 6: Final answer
    x = 153,692.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.