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Finding the Fourth Proportional to 214,478.21, 295,710.62 and 157,017.77

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Solution

The fourth proportional to 214,478.21, 295,710.62 and 157,017.77 is: 216,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,478.21 : 295,710.62 = 157,017.77 : x
  2. Step 2: Convert to fraction form
    214,478.21/295,710.62 = 157,017.77/x
  3. Step 3: Cross multiply
    214,478.21x = 295,710.62 × 157,017.77
  4. Step 4: Simplify right side
    214,478.21x = 46,431,822,530.70
  5. Step 5: Solve for x
    x = 46,431,822,530.70/214,478.21
  6. Step 6: Final answer
    x = 216,487.37

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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.