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Finding the Fourth Proportional to 214,076.70, 295,415.64 and 123,437.70

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Solution

The fourth proportional to 214,076.70, 295,415.64 and 123,437.70 is: 170,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,076.70 : 295,415.64 = 123,437.70 : x
  2. Step 2: Convert to fraction form
    214,076.70/295,415.64 = 123,437.70/x
  3. Step 3: Cross multiply
    214,076.70x = 295,415.64 × 123,437.70
  4. Step 4: Simplify right side
    214,076.70x = 36,465,427,145.63
  5. Step 5: Solve for x
    x = 36,465,427,145.63/214,076.70
  6. Step 6: Final answer
    x = 170,338.14

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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.