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Finding the Fourth Proportional to 193,336.80, 290,063.52 and 130,409.52

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Solution

The fourth proportional to 193,336.80, 290,063.52 and 130,409.52 is: 195,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,336.80 : 290,063.52 = 130,409.52 : x
  2. Step 2: Convert to fraction form
    193,336.80/290,063.52 = 130,409.52/x
  3. Step 3: Cross multiply
    193,336.80x = 290,063.52 × 130,409.52
  4. Step 4: Simplify right side
    193,336.80x = 37,827,044,412.71
  5. Step 5: Solve for x
    x = 37,827,044,412.71/193,336.80
  6. Step 6: Final answer
    x = 195,653.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.