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Finding the Fourth Proportional to 164,597.40, 227,132.10 and 92,977.20

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Solution

The fourth proportional to 164,597.40, 227,132.10 and 92,977.20 is: 128,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,597.40 : 227,132.10 = 92,977.20 : x
  2. Step 2: Convert to fraction form
    164,597.40/227,132.10 = 92,977.20/x
  3. Step 3: Cross multiply
    164,597.40x = 227,132.10 × 92,977.20
  4. Step 4: Simplify right side
    164,597.40x = 21,118,106,688.12
  5. Step 5: Solve for x
    x = 21,118,106,688.12/164,597.40
  6. Step 6: Final answer
    x = 128,301.58

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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.