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Finding the Fourth Proportional to 170,800.94, 256,210.74 and 70,971.20

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Solution

The fourth proportional to 170,800.94, 256,210.74 and 70,971.20 is: 106,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,800.94 : 256,210.74 = 70,971.20 : x
  2. Step 2: Convert to fraction form
    170,800.94/256,210.74 = 70,971.20/x
  3. Step 3: Cross multiply
    170,800.94x = 256,210.74 × 70,971.20
  4. Step 4: Simplify right side
    170,800.94x = 18,183,583,670.69
  5. Step 5: Solve for x
    x = 18,183,583,670.69/170,800.94
  6. Step 6: Final answer
    x = 106,460.68

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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.