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Finding the Fourth Proportional to 178,208.83, 245,928.18 and 97,639.41

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Solution

The fourth proportional to 178,208.83, 245,928.18 and 97,639.41 is: 134,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,208.83 : 245,928.18 = 97,639.41 : x
  2. Step 2: Convert to fraction form
    178,208.83/245,928.18 = 97,639.41/x
  3. Step 3: Cross multiply
    178,208.83x = 245,928.18 × 97,639.41
  4. Step 4: Simplify right side
    178,208.83x = 24,012,282,397.57
  5. Step 5: Solve for x
    x = 24,012,282,397.57/178,208.83
  6. Step 6: Final answer
    x = 134,742.38

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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.