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Finding the Fourth Proportional to 114,322.83, 157,745.12 and 64,012.11

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Solution

The fourth proportional to 114,322.83, 157,745.12 and 64,012.11 is: 88,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,322.83 : 157,745.12 = 64,012.11 : x
  2. Step 2: Convert to fraction form
    114,322.83/157,745.12 = 64,012.11/x
  3. Step 3: Cross multiply
    114,322.83x = 157,745.12 × 64,012.11
  4. Step 4: Simplify right side
    114,322.83x = 10,097,597,653.34
  5. Step 5: Solve for x
    x = 10,097,597,653.34/114,322.83
  6. Step 6: Final answer
    x = 88,325.29

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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.