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Finding the Fourth Proportional to 114,106.37, 157,454.67 and 63,111

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Solution

The fourth proportional to 114,106.37, 157,454.67 and 63,111 is: 87,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,106.37 : 157,454.67 = 63,111 : x
  2. Step 2: Convert to fraction form
    114,106.37/157,454.67 = 63,111/x
  3. Step 3: Cross multiply
    114,106.37x = 157,454.67 × 63,111
  4. Step 4: Simplify right side
    114,106.37x = 9,937,121,678.37
  5. Step 5: Solve for x
    x = 9,937,121,678.37/114,106.37
  6. Step 6: Final answer
    x = 87,086.48

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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.