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Finding the Fourth Proportional to 100,583.16, 138,798.54 and 58,134.84

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Solution

The fourth proportional to 100,583.16, 138,798.54 and 58,134.84 is: 80,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,583.16 : 138,798.54 = 58,134.84 : x
  2. Step 2: Convert to fraction form
    100,583.16/138,798.54 = 58,134.84/x
  3. Step 3: Cross multiply
    100,583.16x = 138,798.54 × 58,134.84
  4. Step 4: Simplify right side
    100,583.16x = 8,069,030,915.13
  5. Step 5: Solve for x
    x = 8,069,030,915.13/100,583.16
  6. Step 6: Final answer
    x = 80,222.48

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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.