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Finding the Fourth Proportional to 172,482.64, 258,464.44 and 97,522

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Solution

The fourth proportional to 172,482.64, 258,464.44 and 97,522 is: 146,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,482.64 : 258,464.44 = 97,522 : x
  2. Step 2: Convert to fraction form
    172,482.64/258,464.44 = 97,522/x
  3. Step 3: Cross multiply
    172,482.64x = 258,464.44 × 97,522
  4. Step 4: Simplify right side
    172,482.64x = 25,205,969,117.68
  5. Step 5: Solve for x
    x = 25,205,969,117.68/172,482.64
  6. Step 6: Final answer
    x = 146,136.27

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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.