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Finding the Fourth Proportional to 210,143.15, 290,005.68 and 119,507.39

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Solution

The fourth proportional to 210,143.15, 290,005.68 and 119,507.39 is: 164,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,143.15 : 290,005.68 = 119,507.39 : x
  2. Step 2: Convert to fraction form
    210,143.15/290,005.68 = 119,507.39/x
  3. Step 3: Cross multiply
    210,143.15x = 290,005.68 × 119,507.39
  4. Step 4: Simplify right side
    210,143.15x = 34,657,820,451.95
  5. Step 5: Solve for x
    x = 34,657,820,451.95/210,143.15
  6. Step 6: Final answer
    x = 164,924.82

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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.