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Finding the Fourth Proportional to 172,719.50, 259,116.30 and 97,875.50

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Solution

The fourth proportional to 172,719.50, 259,116.30 and 97,875.50 is: 146,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,719.50 : 259,116.30 = 97,875.50 : x
  2. Step 2: Convert to fraction form
    172,719.50/259,116.30 = 97,875.50/x
  3. Step 3: Cross multiply
    172,719.50x = 259,116.30 × 97,875.50
  4. Step 4: Simplify right side
    172,719.50x = 25,361,137,420.65
  5. Step 5: Solve for x
    x = 25,361,137,420.65/172,719.50
  6. Step 6: Final answer
    x = 146,834.25

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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.