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Finding the Fourth Proportional to 100,582.66, 138,804.15 and 55,263.57

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Solution

The fourth proportional to 100,582.66, 138,804.15 and 55,263.57 is: 76,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582.66 : 138,804.15 = 55,263.57 : x
  2. Step 2: Convert to fraction form
    100,582.66/138,804.15 = 55,263.57/x
  3. Step 3: Cross multiply
    100,582.66x = 138,804.15 × 55,263.57
  4. Step 4: Simplify right side
    100,582.66x = 7,670,812,859.82
  5. Step 5: Solve for x
    x = 7,670,812,859.82/100,582.66
  6. Step 6: Final answer
    x = 76,263.77

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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.