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Finding the Fourth Proportional to 270,836.80, 406,006.40 and 93,301.60

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Solution

The fourth proportional to 270,836.80, 406,006.40 and 93,301.60 is: 139,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,836.80 : 406,006.40 = 93,301.60 : x
  2. Step 2: Convert to fraction form
    270,836.80/406,006.40 = 93,301.60/x
  3. Step 3: Cross multiply
    270,836.80x = 406,006.40 × 93,301.60
  4. Step 4: Simplify right side
    270,836.80x = 37,881,046,730.24
  5. Step 5: Solve for x
    x = 37,881,046,730.24/270,836.80
  6. Step 6: Final answer
    x = 139,866.69

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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.