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Finding the Fourth Proportional to 208,241.08, 287,367.42 and 116,361.16

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Solution

The fourth proportional to 208,241.08, 287,367.42 and 116,361.16 is: 160,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,241.08 : 287,367.42 = 116,361.16 : x
  2. Step 2: Convert to fraction form
    208,241.08/287,367.42 = 116,361.16/x
  3. Step 3: Cross multiply
    208,241.08x = 287,367.42 × 116,361.16
  4. Step 4: Simplify right side
    208,241.08x = 33,438,406,337.41
  5. Step 5: Solve for x
    x = 33,438,406,337.41/208,241.08
  6. Step 6: Final answer
    x = 160,575.46

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1.5x scale

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.