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Finding the Fourth Proportional to 208,456.40, 312,830.40 and 90,212.60

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Solution

The fourth proportional to 208,456.40, 312,830.40 and 90,212.60 is: 135,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,456.40 : 312,830.40 = 90,212.60 : x
  2. Step 2: Convert to fraction form
    208,456.40/312,830.40 = 90,212.60/x
  3. Step 3: Cross multiply
    208,456.40x = 312,830.40 × 90,212.60
  4. Step 4: Simplify right side
    208,456.40x = 28,221,243,743.04
  5. Step 5: Solve for x
    x = 28,221,243,743.04/208,456.40
  6. Step 6: Final answer
    x = 135,382.00

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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.