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Finding the Fourth Proportional to 214,574.64, 296,044.57 and 123,918.63

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Solution

The fourth proportional to 214,574.64, 296,044.57 and 123,918.63 is: 170,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,574.64 : 296,044.57 = 123,918.63 : x
  2. Step 2: Convert to fraction form
    214,574.64/296,044.57 = 123,918.63/x
  3. Step 3: Cross multiply
    214,574.64x = 296,044.57 × 123,918.63
  4. Step 4: Simplify right side
    214,574.64x = 36,685,437,533.34
  5. Step 5: Solve for x
    x = 36,685,437,533.34/214,574.64
  6. Step 6: Final answer
    x = 170,968.19

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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.