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Finding the Fourth Proportional to 164,582.46, 227,119.14 and 97,514.46

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Solution

The fourth proportional to 164,582.46, 227,119.14 and 97,514.46 is: 134,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,582.46 : 227,119.14 = 97,514.46 : x
  2. Step 2: Convert to fraction form
    164,582.46/227,119.14 = 97,514.46/x
  3. Step 3: Cross multiply
    164,582.46x = 227,119.14 × 97,514.46
  4. Step 4: Simplify right side
    164,582.46x = 22,147,400,292.76
  5. Step 5: Solve for x
    x = 22,147,400,292.76/164,582.46
  6. Step 6: Final answer
    x = 134,567.20

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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.