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Finding the Fourth Proportional to 255,973.86, 353,314.19 and 148,578.49

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Solution

The fourth proportional to 255,973.86, 353,314.19 and 148,578.49 is: 205,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,973.86 : 353,314.19 = 148,578.49 : x
  2. Step 2: Convert to fraction form
    255,973.86/353,314.19 = 148,578.49/x
  3. Step 3: Cross multiply
    255,973.86x = 353,314.19 × 148,578.49
  4. Step 4: Simplify right side
    255,973.86x = 52,494,888,823.11
  5. Step 5: Solve for x
    x = 52,494,888,823.11/255,973.86
  6. Step 6: Final answer
    x = 205,079.10

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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.