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Finding the Fourth Proportional to 210,357.74, 290,293.66 and 114,864.52

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Solution

The fourth proportional to 210,357.74, 290,293.66 and 114,864.52 is: 158,513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,357.74 : 290,293.66 = 114,864.52 : x
  2. Step 2: Convert to fraction form
    210,357.74/290,293.66 = 114,864.52/x
  3. Step 3: Cross multiply
    210,357.74x = 290,293.66 × 114,864.52
  4. Step 4: Simplify right side
    210,357.74x = 33,344,441,914.94
  5. Step 5: Solve for x
    x = 33,344,441,914.94/210,357.74
  6. Step 6: Final answer
    x = 158,513.03

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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.