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Finding the Fourth Proportional to 172,666.50, 259,036.80 and 97,822.50

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Solution

The fourth proportional to 172,666.50, 259,036.80 and 97,822.50 is: 146,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,666.50 : 259,036.80 = 97,822.50 : x
  2. Step 2: Convert to fraction form
    172,666.50/259,036.80 = 97,822.50/x
  3. Step 3: Cross multiply
    172,666.50x = 259,036.80 × 97,822.50
  4. Step 4: Simplify right side
    172,666.50x = 25,339,627,368
  5. Step 5: Solve for x
    x = 25,339,627,368/172,666.50
  6. Step 6: Final answer
    x = 146,754.74

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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.