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Finding the Fourth Proportional to 145,008, 200,111.58 and 84,620.34

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Solution

The fourth proportional to 145,008, 200,111.58 and 84,620.34 is: 116,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,008 : 200,111.58 = 84,620.34 : x
  2. Step 2: Convert to fraction form
    145,008/200,111.58 = 84,620.34/x
  3. Step 3: Cross multiply
    145,008x = 200,111.58 × 84,620.34
  4. Step 4: Simplify right side
    145,008x = 16,933,509,937.54
  5. Step 5: Solve for x
    x = 16,933,509,937.54/145,008
  6. Step 6: Final answer
    x = 116,776.38

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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.