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Finding the Fourth Proportional to 264,377.86, 364,802.95 and 151,178.74

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Solution

The fourth proportional to 264,377.86, 364,802.95 and 151,178.74 is: 208,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,377.86 : 364,802.95 = 151,178.74 : x
  2. Step 2: Convert to fraction form
    264,377.86/364,802.95 = 151,178.74/x
  3. Step 3: Cross multiply
    264,377.86x = 364,802.95 × 151,178.74
  4. Step 4: Simplify right side
    264,377.86x = 55,150,450,329.28
  5. Step 5: Solve for x
    x = 55,150,450,329.28/264,377.86
  6. Step 6: Final answer
    x = 208,604.65

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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.