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Finding the Fourth Proportional to 178,477.58, 246,305.88 and 97,908.50

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Solution

The fourth proportional to 178,477.58, 246,305.88 and 97,908.50 is: 135,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,477.58 : 246,305.88 = 97,908.50 : x
  2. Step 2: Convert to fraction form
    178,477.58/246,305.88 = 97,908.50/x
  3. Step 3: Cross multiply
    178,477.58x = 246,305.88 × 97,908.50
  4. Step 4: Simplify right side
    178,477.58x = 24,115,439,251.98
  5. Step 5: Solve for x
    x = 24,115,439,251.98/178,477.58
  6. Step 6: Final answer
    x = 135,117.47

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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.