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Finding the Fourth Proportional to 171,812.84, 257,657.52 and 59,462.58

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Solution

The fourth proportional to 171,812.84, 257,657.52 and 59,462.58 is: 89,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,812.84 : 257,657.52 = 59,462.58 : x
  2. Step 2: Convert to fraction form
    171,812.84/257,657.52 = 59,462.58/x
  3. Step 3: Cross multiply
    171,812.84x = 257,657.52 × 59,462.58
  4. Step 4: Simplify right side
    171,812.84x = 15,320,980,895.60
  5. Step 5: Solve for x
    x = 15,320,980,895.60/171,812.84
  6. Step 6: Final answer
    x = 89,172.50

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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.