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Finding the Fourth Proportional to 171,705.84, 257,509.44 and 59,356.68

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Solution

The fourth proportional to 171,705.84, 257,509.44 and 59,356.68 is: 89,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,705.84 : 257,509.44 = 59,356.68 : x
  2. Step 2: Convert to fraction form
    171,705.84/257,509.44 = 59,356.68/x
  3. Step 3: Cross multiply
    171,705.84x = 257,509.44 × 59,356.68
  4. Step 4: Simplify right side
    171,705.84x = 15,284,905,427.06
  5. Step 5: Solve for x
    x = 15,284,905,427.06/171,705.84
  6. Step 6: Final answer
    x = 89,017.97

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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.