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Finding the Fourth Proportional to 171,852.86, 257,783.61 and 47,193.50

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Solution

The fourth proportional to 171,852.86, 257,783.61 and 47,193.50 is: 70,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,852.86 : 257,783.61 = 47,193.50 : x
  2. Step 2: Convert to fraction form
    171,852.86/257,783.61 = 47,193.50/x
  3. Step 3: Cross multiply
    171,852.86x = 257,783.61 × 47,193.50
  4. Step 4: Simplify right side
    171,852.86x = 12,165,710,798.54
  5. Step 5: Solve for x
    x = 12,165,710,798.54/171,852.86
  6. Step 6: Final answer
    x = 70,791.44

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1.5x scale

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.