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Finding the Fourth Proportional to 114,073.94, 171,135 and 42,995.07

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Solution

The fourth proportional to 114,073.94, 171,135 and 42,995.07 is: 64,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,073.94 : 171,135 = 42,995.07 : x
  2. Step 2: Convert to fraction form
    114,073.94/171,135 = 42,995.07/x
  3. Step 3: Cross multiply
    114,073.94x = 171,135 × 42,995.07
  4. Step 4: Simplify right side
    114,073.94x = 7,357,961,304.45
  5. Step 5: Solve for x
    x = 7,357,961,304.45/114,073.94
  6. Step 6: Final answer
    x = 64,501.68

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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.