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Finding the Fourth Proportional to 210,454.80, 290,434.68 and 114,970.38

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Solution

The fourth proportional to 210,454.80, 290,434.68 and 114,970.38 is: 158,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,454.80 : 290,434.68 = 114,970.38 : x
  2. Step 2: Convert to fraction form
    210,454.80/290,434.68 = 114,970.38/x
  3. Step 3: Cross multiply
    210,454.80x = 290,434.68 × 114,970.38
  4. Step 4: Simplify right side
    210,454.80x = 33,391,385,524.78
  5. Step 5: Solve for x
    x = 33,391,385,524.78/210,454.80
  6. Step 6: Final answer
    x = 158,662.98

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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.