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Finding the Fourth Proportional to 176,539.50, 264,928.32 and 65,731.50

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Solution

The fourth proportional to 176,539.50, 264,928.32 and 65,731.50 is: 98,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,539.50 : 264,928.32 = 65,731.50 : x
  2. Step 2: Convert to fraction form
    176,539.50/264,928.32 = 65,731.50/x
  3. Step 3: Cross multiply
    176,539.50x = 264,928.32 × 65,731.50
  4. Step 4: Simplify right side
    176,539.50x = 17,414,135,866.08
  5. Step 5: Solve for x
    x = 17,414,135,866.08/176,539.50
  6. Step 6: Final answer
    x = 98,641.58

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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.