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Finding the Fourth Proportional to 114,130, 171,195.54 and 40,258

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Solution

The fourth proportional to 114,130, 171,195.54 and 40,258 is: 60,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,130 : 171,195.54 = 40,258 : x
  2. Step 2: Convert to fraction form
    114,130/171,195.54 = 40,258/x
  3. Step 3: Cross multiply
    114,130x = 171,195.54 × 40,258
  4. Step 4: Simplify right side
    114,130x = 6,891,990,049.32
  5. Step 5: Solve for x
    x = 6,891,990,049.32/114,130
  6. Step 6: Final answer
    x = 60,387.19

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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.