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Finding the Fourth Proportional to 203,430.85, 280,737.13 and 117,407.70

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Solution

The fourth proportional to 203,430.85, 280,737.13 and 117,407.70 is: 162,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,430.85 : 280,737.13 = 117,407.70 : x
  2. Step 2: Convert to fraction form
    203,430.85/280,737.13 = 117,407.70/x
  3. Step 3: Cross multiply
    203,430.85x = 280,737.13 × 117,407.70
  4. Step 4: Simplify right side
    203,430.85x = 32,960,700,737.90
  5. Step 5: Solve for x
    x = 32,960,700,737.90/203,430.85
  6. Step 6: Final answer
    x = 162,024.10

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