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Finding the Fourth Proportional to 172,678.50, 259,054.80 and 97,834.50

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Solution

The fourth proportional to 172,678.50, 259,054.80 and 97,834.50 is: 146,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,678.50 : 259,054.80 = 97,834.50 : x
  2. Step 2: Convert to fraction form
    172,678.50/259,054.80 = 97,834.50/x
  3. Step 3: Cross multiply
    172,678.50x = 259,054.80 × 97,834.50
  4. Step 4: Simplify right side
    172,678.50x = 25,344,496,830.60
  5. Step 5: Solve for x
    x = 25,344,496,830.60/172,678.50
  6. Step 6: Final answer
    x = 146,772.74

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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.