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Finding the Fourth Proportional to 114,302.21, 157,738.32 and 63,315.72

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Solution

The fourth proportional to 114,302.21, 157,738.32 and 63,315.72 is: 87,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,302.21 : 157,738.32 = 63,315.72 : x
  2. Step 2: Convert to fraction form
    114,302.21/157,738.32 = 63,315.72/x
  3. Step 3: Cross multiply
    114,302.21x = 157,738.32 × 63,315.72
  4. Step 4: Simplify right side
    114,302.21x = 9,987,315,064.96
  5. Step 5: Solve for x
    x = 9,987,315,064.96/114,302.21
  6. Step 6: Final answer
    x = 87,376.40

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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.