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Finding the Fourth Proportional to 210,182.66, 290,058.46 and 119,551.66

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Solution

The fourth proportional to 210,182.66, 290,058.46 and 119,551.66 is: 164,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,182.66 : 290,058.46 = 119,551.66 : x
  2. Step 2: Convert to fraction form
    210,182.66/290,058.46 = 119,551.66/x
  3. Step 3: Cross multiply
    210,182.66x = 290,058.46 × 119,551.66
  4. Step 4: Simplify right side
    210,182.66x = 34,676,970,390.04
  5. Step 5: Solve for x
    x = 34,676,970,390.04/210,182.66
  6. Step 6: Final answer
    x = 164,984.92

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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.