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Finding the Fourth Proportional to 127,574.94, 191,354.73 and 56,476.77

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Solution

The fourth proportional to 127,574.94, 191,354.73 and 56,476.77 is: 84,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,574.94 : 191,354.73 = 56,476.77 : x
  2. Step 2: Convert to fraction form
    127,574.94/191,354.73 = 56,476.77/x
  3. Step 3: Cross multiply
    127,574.94x = 191,354.73 × 56,476.77
  4. Step 4: Simplify right side
    127,574.94x = 10,807,097,074.62
  5. Step 5: Solve for x
    x = 10,807,097,074.62/127,574.94
  6. Step 6: Final answer
    x = 84,711.76

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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.