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Finding the Fourth Proportional to 99,178.88, 148,784.74 and 49,260.64

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Solution

The fourth proportional to 99,178.88, 148,784.74 and 49,260.64 is: 73,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,178.88 : 148,784.74 = 49,260.64 : x
  2. Step 2: Convert to fraction form
    99,178.88/148,784.74 = 49,260.64/x
  3. Step 3: Cross multiply
    99,178.88x = 148,784.74 × 49,260.64
  4. Step 4: Simplify right side
    99,178.88x = 7,329,231,514.63
  5. Step 5: Solve for x
    x = 7,329,231,514.63/99,178.88
  6. Step 6: Final answer
    x = 73,899.12

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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.