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Finding the Fourth Proportional to 164,034.74, 226,368.74 and 92,415.90

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Solution

The fourth proportional to 164,034.74, 226,368.74 and 92,415.90 is: 127,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034.74 : 226,368.74 = 92,415.90 : x
  2. Step 2: Convert to fraction form
    164,034.74/226,368.74 = 92,415.90/x
  3. Step 3: Cross multiply
    164,034.74x = 226,368.74 × 92,415.90
  4. Step 4: Simplify right side
    164,034.74x = 20,920,070,838.97
  5. Step 5: Solve for x
    x = 20,920,070,838.97/164,034.74
  6. Step 6: Final answer
    x = 127,534.39

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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.