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Finding the Fourth Proportional to 209,817.44, 314,700.24 and 85,038.56

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Solution

The fourth proportional to 209,817.44, 314,700.24 and 85,038.56 is: 127,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,817.44 : 314,700.24 = 85,038.56 : x
  2. Step 2: Convert to fraction form
    209,817.44/314,700.24 = 85,038.56/x
  3. Step 3: Cross multiply
    209,817.44x = 314,700.24 × 85,038.56
  4. Step 4: Simplify right side
    209,817.44x = 26,761,655,241.25
  5. Step 5: Solve for x
    x = 26,761,655,241.25/209,817.44
  6. Step 6: Final answer
    x = 127,547.33

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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.