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Finding the Fourth Proportional to 214,504.54, 296,029.66 and 123,877.08

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Solution

The fourth proportional to 214,504.54, 296,029.66 and 123,877.08 is: 170,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,504.54 : 296,029.66 = 123,877.08 : x
  2. Step 2: Convert to fraction form
    214,504.54/296,029.66 = 123,877.08/x
  3. Step 3: Cross multiply
    214,504.54x = 296,029.66 × 123,877.08
  4. Step 4: Simplify right side
    214,504.54x = 36,671,289,874.19
  5. Step 5: Solve for x
    x = 36,671,289,874.19/214,504.54
  6. Step 6: Final answer
    x = 170,958.11

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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.