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Finding the Fourth Proportional to 111,411.34, 153,767.29 and 66,114.30

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Solution

The fourth proportional to 111,411.34, 153,767.29 and 66,114.30 is: 91,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,411.34 : 153,767.29 = 66,114.30 : x
  2. Step 2: Convert to fraction form
    111,411.34/153,767.29 = 66,114.30/x
  3. Step 3: Cross multiply
    111,411.34x = 153,767.29 × 66,114.30
  4. Step 4: Simplify right side
    111,411.34x = 10,166,216,741.25
  5. Step 5: Solve for x
    x = 10,166,216,741.25/111,411.34
  6. Step 6: Final answer
    x = 91,249.39

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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.