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Finding the Fourth Proportional to 127,596.94, 191,438.34 and 56,509.72

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Solution

The fourth proportional to 127,596.94, 191,438.34 and 56,509.72 is: 84,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,596.94 : 191,438.34 = 56,509.72 : x
  2. Step 2: Convert to fraction form
    127,596.94/191,438.34 = 56,509.72/x
  3. Step 3: Cross multiply
    127,596.94x = 191,438.34 × 56,509.72
  4. Step 4: Simplify right side
    127,596.94x = 10,818,126,990.66
  5. Step 5: Solve for x
    x = 10,818,126,990.66/127,596.94
  6. Step 6: Final answer
    x = 84,783.59

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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.