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Finding the Fourth Proportional to 145,493.88, 218,216.52 and 40,323.48

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Solution

The fourth proportional to 145,493.88, 218,216.52 and 40,323.48 is: 60,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493.88 : 218,216.52 = 40,323.48 : x
  2. Step 2: Convert to fraction form
    145,493.88/218,216.52 = 40,323.48/x
  3. Step 3: Cross multiply
    145,493.88x = 218,216.52 × 40,323.48
  4. Step 4: Simplify right side
    145,493.88x = 8,799,249,479.89
  5. Step 5: Solve for x
    x = 8,799,249,479.89/145,493.88
  6. Step 6: Final answer
    x = 60,478.49

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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.