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Finding the Fourth Proportional to 264,866.51, 397,549.45 and 96,549.53

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Solution

The fourth proportional to 264,866.51, 397,549.45 and 96,549.53 is: 144,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,866.51 : 397,549.45 = 96,549.53 : x
  2. Step 2: Convert to fraction form
    264,866.51/397,549.45 = 96,549.53/x
  3. Step 3: Cross multiply
    264,866.51x = 397,549.45 × 96,549.53
  4. Step 4: Simplify right side
    264,866.51x = 38,383,210,320.14
  5. Step 5: Solve for x
    x = 38,383,210,320.14/264,866.51
  6. Step 6: Final answer
    x = 144,915.30

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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.