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Finding the Fourth Proportional to 114,006, 157,328.28 and 63,709.68

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Solution

The fourth proportional to 114,006, 157,328.28 and 63,709.68 is: 87,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,006 : 157,328.28 = 63,709.68 : x
  2. Step 2: Convert to fraction form
    114,006/157,328.28 = 63,709.68/x
  3. Step 3: Cross multiply
    114,006x = 157,328.28 × 63,709.68
  4. Step 4: Simplify right side
    114,006x = 10,023,334,373.75
  5. Step 5: Solve for x
    x = 10,023,334,373.75/114,006
  6. Step 6: Final answer
    x = 87,919.36

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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.