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Finding the Fourth Proportional to 264,564.23, 396,731.52 and 96,028.54

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Solution

The fourth proportional to 264,564.23, 396,731.52 and 96,028.54 is: 144,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,564.23 : 396,731.52 = 96,028.54 : x
  2. Step 2: Convert to fraction form
    264,564.23/396,731.52 = 96,028.54/x
  3. Step 3: Cross multiply
    264,564.23x = 396,731.52 × 96,028.54
  4. Step 4: Simplify right side
    264,564.23x = 38,097,547,645.75
  5. Step 5: Solve for x
    x = 38,097,547,645.75/264,564.23
  6. Step 6: Final answer
    x = 144,001.13

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Why These Related Problems?

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