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Finding the Fourth Proportional to 114,293.45, 157,727.34 and 68,400.54

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Solution

The fourth proportional to 114,293.45, 157,727.34 and 68,400.54 is: 94,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,293.45 : 157,727.34 = 68,400.54 : x
  2. Step 2: Convert to fraction form
    114,293.45/157,727.34 = 68,400.54/x
  3. Step 3: Cross multiply
    114,293.45x = 157,727.34 × 68,400.54
  4. Step 4: Simplify right side
    114,293.45x = 10,788,634,927.32
  5. Step 5: Solve for x
    x = 10,788,634,927.32/114,293.45
  6. Step 6: Final answer
    x = 94,394.16

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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.