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Finding the Fourth Proportional to 262,376.53, 362,047.39 and 165,543.86

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Solution

The fourth proportional to 262,376.53, 362,047.39 and 165,543.86 is: 228,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,376.53 : 362,047.39 = 165,543.86 : x
  2. Step 2: Convert to fraction form
    262,376.53/362,047.39 = 165,543.86/x
  3. Step 3: Cross multiply
    262,376.53x = 362,047.39 × 165,543.86
  4. Step 4: Simplify right side
    262,376.53x = 59,934,722,934.78
  5. Step 5: Solve for x
    x = 59,934,722,934.78/262,376.53
  6. Step 6: Final answer
    x = 228,430.20

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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.