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Finding the Fourth Proportional to 165,462.57, 228,319.74 and 97,475.13

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Solution

The fourth proportional to 165,462.57, 228,319.74 and 97,475.13 is: 134,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,462.57 : 228,319.74 = 97,475.13 : x
  2. Step 2: Convert to fraction form
    165,462.57/228,319.74 = 97,475.13/x
  3. Step 3: Cross multiply
    165,462.57x = 228,319.74 × 97,475.13
  4. Step 4: Simplify right side
    165,462.57x = 22,255,496,338.07
  5. Step 5: Solve for x
    x = 22,255,496,338.07/165,462.57
  6. Step 6: Final answer
    x = 134,504.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.