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Finding the Fourth Proportional to 214,574.76, 296,044.74 and 123,918.75

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Solution

The fourth proportional to 214,574.76, 296,044.74 and 123,918.75 is: 170,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,574.76 : 296,044.74 = 123,918.75 : x
  2. Step 2: Convert to fraction form
    214,574.76/296,044.74 = 123,918.75/x
  3. Step 3: Cross multiply
    214,574.76x = 296,044.74 × 123,918.75
  4. Step 4: Simplify right side
    214,574.76x = 36,685,494,124.88
  5. Step 5: Solve for x
    x = 36,685,494,124.88/214,574.76
  6. Step 6: Final answer
    x = 170,968.36

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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.