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Finding the Fourth Proportional to 365,169, 547,746.21 and 165,452.16

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Solution

The fourth proportional to 365,169, 547,746.21 and 165,452.16 is: 248,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,169 : 547,746.21 = 165,452.16 : x
  2. Step 2: Convert to fraction form
    365,169/547,746.21 = 165,452.16/x
  3. Step 3: Cross multiply
    365,169x = 547,746.21 × 165,452.16
  4. Step 4: Simplify right side
    365,169x = 90,625,793,576.31
  5. Step 5: Solve for x
    x = 90,625,793,576.31/365,169
  6. Step 6: Final answer
    x = 248,174.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.