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Finding the Fourth Proportional to 178,137.42, 245,829.51 and 97,564.56

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Solution

The fourth proportional to 178,137.42, 245,829.51 and 97,564.56 is: 134,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,137.42 : 245,829.51 = 97,564.56 : x
  2. Step 2: Convert to fraction form
    178,137.42/245,829.51 = 97,564.56/x
  3. Step 3: Cross multiply
    178,137.42x = 245,829.51 × 97,564.56
  4. Step 4: Simplify right side
    178,137.42x = 23,984,247,978.17
  5. Step 5: Solve for x
    x = 23,984,247,978.17/178,137.42
  6. Step 6: Final answer
    x = 134,639.02

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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.