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Finding the Fourth Proportional to 165,074, 227,810.76 and 97,094.48

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Solution

The fourth proportional to 165,074, 227,810.76 and 97,094.48 is: 133,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,074 : 227,810.76 = 97,094.48 : x
  2. Step 2: Convert to fraction form
    165,074/227,810.76 = 97,094.48/x
  3. Step 3: Cross multiply
    165,074x = 227,810.76 × 97,094.48
  4. Step 4: Simplify right side
    165,074x = 22,119,167,280.60
  5. Step 5: Solve for x
    x = 22,119,167,280.60/165,074
  6. Step 6: Final answer
    x = 133,995.46

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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.