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Finding the Fourth Proportional to 102,161.64, 153,240.92 and 45,962.06

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Solution

The fourth proportional to 102,161.64, 153,240.92 and 45,962.06 is: 68,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,161.64 : 153,240.92 = 45,962.06 : x
  2. Step 2: Convert to fraction form
    102,161.64/153,240.92 = 45,962.06/x
  3. Step 3: Cross multiply
    102,161.64x = 153,240.92 × 45,962.06
  4. Step 4: Simplify right side
    102,161.64x = 7,043,268,397.82
  5. Step 5: Solve for x
    x = 7,043,268,397.82/102,161.64
  6. Step 6: Final answer
    x = 68,942.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.