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Finding the Fourth Proportional to 214,536, 296,059.68 and 119,058.08

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Solution

The fourth proportional to 214,536, 296,059.68 and 119,058.08 is: 164,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,536 : 296,059.68 = 119,058.08 : x
  2. Step 2: Convert to fraction form
    214,536/296,059.68 = 119,058.08/x
  3. Step 3: Cross multiply
    214,536x = 296,059.68 × 119,058.08
  4. Step 4: Simplify right side
    214,536x = 35,248,297,066.21
  5. Step 5: Solve for x
    x = 35,248,297,066.21/214,536
  6. Step 6: Final answer
    x = 164,300.15

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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.