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Finding the Fourth Proportional to 264,734.51, 397,150.97 and 87,254.01

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Solution

The fourth proportional to 264,734.51, 397,150.97 and 87,254.01 is: 130,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,734.51 : 397,150.97 = 87,254.01 : x
  2. Step 2: Convert to fraction form
    264,734.51/397,150.97 = 87,254.01/x
  3. Step 3: Cross multiply
    264,734.51x = 397,150.97 × 87,254.01
  4. Step 4: Simplify right side
    264,734.51x = 34,653,014,271.62
  5. Step 5: Solve for x
    x = 34,653,014,271.62/264,734.51
  6. Step 6: Final answer
    x = 130,897.23

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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.