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Finding the Fourth Proportional to 208,762.76, 313,200.63 and 148,866.90

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Solution

The fourth proportional to 208,762.76, 313,200.63 and 148,866.90 is: 223,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,762.76 : 313,200.63 = 148,866.90 : x
  2. Step 2: Convert to fraction form
    208,762.76/313,200.63 = 148,866.90/x
  3. Step 3: Cross multiply
    208,762.76x = 313,200.63 × 148,866.90
  4. Step 4: Simplify right side
    208,762.76x = 46,625,206,866.15
  5. Step 5: Solve for x
    x = 46,625,206,866.15/208,762.76
  6. Step 6: Final answer
    x = 223,340.64

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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.