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Finding the Fourth Proportional to 210,182.01, 290,059.89 and 119,553.93

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Solution

The fourth proportional to 210,182.01, 290,059.89 and 119,553.93 is: 164,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,182.01 : 290,059.89 = 119,553.93 : x
  2. Step 2: Convert to fraction form
    210,182.01/290,059.89 = 119,553.93/x
  3. Step 3: Cross multiply
    210,182.01x = 290,059.89 × 119,553.93
  4. Step 4: Simplify right side
    210,182.01x = 34,677,799,784.87
  5. Step 5: Solve for x
    x = 34,677,799,784.87/210,182.01
  6. Step 6: Final answer
    x = 164,989.38

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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.