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Finding the Fourth Proportional to 255,973.80, 353,314.10 and 148,578.43

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Solution

The fourth proportional to 255,973.80, 353,314.10 and 148,578.43 is: 205,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,973.80 : 353,314.10 = 148,578.43 : x
  2. Step 2: Convert to fraction form
    255,973.80/353,314.10 = 148,578.43/x
  3. Step 3: Cross multiply
    255,973.80x = 353,314.10 × 148,578.43
  4. Step 4: Simplify right side
    255,973.80x = 52,494,854,274.86
  5. Step 5: Solve for x
    x = 52,494,854,274.86/255,973.80
  6. Step 6: Final answer
    x = 205,079.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.