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Finding the Fourth Proportional to 210,232.35, 290,116.61 and 114,739.74

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Solution

The fourth proportional to 210,232.35, 290,116.61 and 114,739.74 is: 158,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,232.35 : 290,116.61 = 114,739.74 : x
  2. Step 2: Convert to fraction form
    210,232.35/290,116.61 = 114,739.74/x
  3. Step 3: Cross multiply
    210,232.35x = 290,116.61 × 114,739.74
  4. Step 4: Simplify right side
    210,232.35x = 33,287,903,827.38
  5. Step 5: Solve for x
    x = 33,287,903,827.38/210,232.35
  6. Step 6: Final answer
    x = 158,338.64

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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.