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Finding the Fourth Proportional to 214,569.01, 296,036.80 and 123,913

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Solution

The fourth proportional to 214,569.01, 296,036.80 and 123,913 is: 170,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,569.01 : 296,036.80 = 123,913 : x
  2. Step 2: Convert to fraction form
    214,569.01/296,036.80 = 123,913/x
  3. Step 3: Cross multiply
    214,569.01x = 296,036.80 × 123,913
  4. Step 4: Simplify right side
    214,569.01x = 36,682,807,998.40
  5. Step 5: Solve for x
    x = 36,682,807,998.40/214,569.01
  6. Step 6: Final answer
    x = 170,960.42

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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.