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Finding the Fourth Proportional to 100,820.43, 139,130.06 and 55,496.07

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Solution

The fourth proportional to 100,820.43, 139,130.06 and 55,496.07 is: 76,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,820.43 : 139,130.06 = 55,496.07 : x
  2. Step 2: Convert to fraction form
    100,820.43/139,130.06 = 55,496.07/x
  3. Step 3: Cross multiply
    100,820.43x = 139,130.06 × 55,496.07
  4. Step 4: Simplify right side
    100,820.43x = 7,721,171,271.38
  5. Step 5: Solve for x
    x = 7,721,171,271.38/100,820.43
  6. Step 6: Final answer
    x = 76,583.40

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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.