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Finding the Fourth Proportional to 197,193.48, 295,731.82 and 56,953.32

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Solution

The fourth proportional to 197,193.48, 295,731.82 and 56,953.32 is: 85,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,193.48 : 295,731.82 = 56,953.32 : x
  2. Step 2: Convert to fraction form
    197,193.48/295,731.82 = 56,953.32/x
  3. Step 3: Cross multiply
    197,193.48x = 295,731.82 × 56,953.32
  4. Step 4: Simplify right side
    197,193.48x = 16,842,908,978.64
  5. Step 5: Solve for x
    x = 16,842,908,978.64/197,193.48
  6. Step 6: Final answer
    x = 85,413.11

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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.