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Finding the Fourth Proportional to 197,762.56, 296,641.32 and 48,004

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Solution

The fourth proportional to 197,762.56, 296,641.32 and 48,004 is: 72,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,762.56 : 296,641.32 = 48,004 : x
  2. Step 2: Convert to fraction form
    197,762.56/296,641.32 = 48,004/x
  3. Step 3: Cross multiply
    197,762.56x = 296,641.32 × 48,004
  4. Step 4: Simplify right side
    197,762.56x = 14,239,969,925.28
  5. Step 5: Solve for x
    x = 14,239,969,925.28/197,762.56
  6. Step 6: Final answer
    x = 72,005.39

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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.