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Finding the Fourth Proportional to 99,106.91, 136,767.64 and 53,784.91

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Solution

The fourth proportional to 99,106.91, 136,767.64 and 53,784.91 is: 74,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,106.91 : 136,767.64 = 53,784.91 : x
  2. Step 2: Convert to fraction form
    99,106.91/136,767.64 = 53,784.91/x
  3. Step 3: Cross multiply
    99,106.91x = 136,767.64 × 53,784.91
  4. Step 4: Simplify right side
    99,106.91x = 7,356,034,255.55
  5. Step 5: Solve for x
    x = 7,356,034,255.55/99,106.91
  6. Step 6: Final answer
    x = 74,223.22

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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.