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Finding the Fourth Proportional to 101,414.74, 139,953.28 and 56,090.38

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Solution

The fourth proportional to 101,414.74, 139,953.28 and 56,090.38 is: 77,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.74 : 139,953.28 = 56,090.38 : x
  2. Step 2: Convert to fraction form
    101,414.74/139,953.28 = 56,090.38/x
  3. Step 3: Cross multiply
    101,414.74x = 139,953.28 × 56,090.38
  4. Step 4: Simplify right side
    101,414.74x = 7,850,032,657.45
  5. Step 5: Solve for x
    x = 7,850,032,657.45/101,414.74
  6. Step 6: Final answer
    x = 77,405.24

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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.