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Finding the Fourth Proportional to 203,038.03, 280,188.07 and 111,157.10

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Solution

The fourth proportional to 203,038.03, 280,188.07 and 111,157.10 is: 153,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,038.03 : 280,188.07 = 111,157.10 : x
  2. Step 2: Convert to fraction form
    203,038.03/280,188.07 = 111,157.10/x
  3. Step 3: Cross multiply
    203,038.03x = 280,188.07 × 111,157.10
  4. Step 4: Simplify right side
    203,038.03x = 31,144,893,315.80
  5. Step 5: Solve for x
    x = 31,144,893,315.80/203,038.03
  6. Step 6: Final answer
    x = 153,394.38

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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.