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Finding the Fourth Proportional to 157,582.70, 217,464.13 and 85,963.01

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Solution

The fourth proportional to 157,582.70, 217,464.13 and 85,963.01 is: 118,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,582.70 : 217,464.13 = 85,963.01 : x
  2. Step 2: Convert to fraction form
    157,582.70/217,464.13 = 85,963.01/x
  3. Step 3: Cross multiply
    157,582.70x = 217,464.13 × 85,963.01
  4. Step 4: Simplify right side
    157,582.70x = 18,693,871,181.83
  5. Step 5: Solve for x
    x = 18,693,871,181.83/157,582.70
  6. Step 6: Final answer
    x = 118,628.96

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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.