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Finding the Fourth Proportional to 164,276.40, 226,742.74 and 92,697.72

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Solution

The fourth proportional to 164,276.40, 226,742.74 and 92,697.72 is: 127,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,276.40 : 226,742.74 = 92,697.72 : x
  2. Step 2: Convert to fraction form
    164,276.40/226,742.74 = 92,697.72/x
  3. Step 3: Cross multiply
    164,276.40x = 226,742.74 × 92,697.72
  4. Step 4: Simplify right side
    164,276.40x = 21,018,535,024.55
  5. Step 5: Solve for x
    x = 21,018,535,024.55/164,276.40
  6. Step 6: Final answer
    x = 127,946.16

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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.