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Finding the Fourth Proportional to 127,596.69, 191,437.97 and 56,509.47

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Solution

The fourth proportional to 127,596.69, 191,437.97 and 56,509.47 is: 84,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,596.69 : 191,437.97 = 56,509.47 : x
  2. Step 2: Convert to fraction form
    127,596.69/191,437.97 = 56,509.47/x
  3. Step 3: Cross multiply
    127,596.69x = 191,437.97 × 56,509.47
  4. Step 4: Simplify right side
    127,596.69x = 10,818,057,940.03
  5. Step 5: Solve for x
    x = 10,818,057,940.03/127,596.69
  6. Step 6: Final answer
    x = 84,783.22

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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.