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Finding the Fourth Proportional to 203,486.96, 280,829.76 and 118,602.20

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Solution

The fourth proportional to 203,486.96, 280,829.76 and 118,602.20 is: 163,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.96 : 280,829.76 = 118,602.20 : x
  2. Step 2: Convert to fraction form
    203,486.96/280,829.76 = 118,602.20/x
  3. Step 3: Cross multiply
    203,486.96x = 280,829.76 × 118,602.20
  4. Step 4: Simplify right side
    203,486.96x = 33,307,027,361.47
  5. Step 5: Solve for x
    x = 33,307,027,361.47/203,486.96
  6. Step 6: Final answer
    x = 163,681.38

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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.