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Finding the Fourth Proportional to 165,510.74, 228,421.66 and 97,549.64

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Solution

The fourth proportional to 165,510.74, 228,421.66 and 97,549.64 is: 134,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,510.74 : 228,421.66 = 97,549.64 : x
  2. Step 2: Convert to fraction form
    165,510.74/228,421.66 = 97,549.64/x
  3. Step 3: Cross multiply
    165,510.74x = 228,421.66 × 97,549.64
  4. Step 4: Simplify right side
    165,510.74x = 22,282,451,028.38
  5. Step 5: Solve for x
    x = 22,282,451,028.38/165,510.74
  6. Step 6: Final answer
    x = 134,628.43

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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.