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Finding the Fourth Proportional to 103,148.74, 154,827.45 and 53,264.49

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Solution

The fourth proportional to 103,148.74, 154,827.45 and 53,264.49 is: 79,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,148.74 : 154,827.45 = 53,264.49 : x
  2. Step 2: Convert to fraction form
    103,148.74/154,827.45 = 53,264.49/x
  3. Step 3: Cross multiply
    103,148.74x = 154,827.45 × 53,264.49
  4. Step 4: Simplify right side
    103,148.74x = 8,246,804,581.65
  5. Step 5: Solve for x
    x = 8,246,804,581.65/103,148.74
  6. Step 6: Final answer
    x = 79,950.61

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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.