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Finding the Fourth Proportional to 365,838.64, 548,779.38 and 141,200.26

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Solution

The fourth proportional to 365,838.64, 548,779.38 and 141,200.26 is: 211,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,838.64 : 548,779.38 = 141,200.26 : x
  2. Step 2: Convert to fraction form
    365,838.64/548,779.38 = 141,200.26/x
  3. Step 3: Cross multiply
    365,838.64x = 548,779.38 × 141,200.26
  4. Step 4: Simplify right side
    365,838.64x = 77,487,791,138.64
  5. Step 5: Solve for x
    x = 77,487,791,138.64/365,838.64
  6. Step 6: Final answer
    x = 211,808.66

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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.