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Finding the Fourth Proportional to 114,157.57, 157,468.56 and 75,395.62

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Solution

The fourth proportional to 114,157.57, 157,468.56 and 75,395.62 is: 104,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,157.57 : 157,468.56 = 75,395.62 : x
  2. Step 2: Convert to fraction form
    114,157.57/157,468.56 = 75,395.62/x
  3. Step 3: Cross multiply
    114,157.57x = 157,468.56 × 75,395.62
  4. Step 4: Simplify right side
    114,157.57x = 11,872,439,711.71
  5. Step 5: Solve for x
    x = 11,872,439,711.71/114,157.57
  6. Step 6: Final answer
    x = 104,000.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.