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Finding the Fourth Proportional to 169,117.96, 233,384.50 and 102,037

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Solution

The fourth proportional to 169,117.96, 233,384.50 and 102,037 is: 140,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,117.96 : 233,384.50 = 102,037 : x
  2. Step 2: Convert to fraction form
    169,117.96/233,384.50 = 102,037/x
  3. Step 3: Cross multiply
    169,117.96x = 233,384.50 × 102,037
  4. Step 4: Simplify right side
    169,117.96x = 23,813,854,226.50
  5. Step 5: Solve for x
    x = 23,813,854,226.50/169,117.96
  6. Step 6: Final answer
    x = 140,812.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.