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Finding the Fourth Proportional to 178,185.08, 245,895.50 and 97,615.50

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Solution

The fourth proportional to 178,185.08, 245,895.50 and 97,615.50 is: 134,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,185.08 : 245,895.50 = 97,615.50 : x
  2. Step 2: Convert to fraction form
    178,185.08/245,895.50 = 97,615.50/x
  3. Step 3: Cross multiply
    178,185.08x = 245,895.50 × 97,615.50
  4. Step 4: Simplify right side
    178,185.08x = 24,003,212,180.25
  5. Step 5: Solve for x
    x = 24,003,212,180.25/178,185.08
  6. Step 6: Final answer
    x = 134,709.44

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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.