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Finding the Fourth Proportional to 296,907.76, 445,274.55 and 83,661.49

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Solution

The fourth proportional to 296,907.76, 445,274.55 and 83,661.49 is: 125,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,907.76 : 445,274.55 = 83,661.49 : x
  2. Step 2: Convert to fraction form
    296,907.76/445,274.55 = 83,661.49/x
  3. Step 3: Cross multiply
    296,907.76x = 445,274.55 × 83,661.49
  4. Step 4: Simplify right side
    296,907.76x = 37,252,332,312.08
  5. Step 5: Solve for x
    x = 37,252,332,312.08/296,907.76
  6. Step 6: Final answer
    x = 125,467.70

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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.