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Finding the Fourth Proportional to 145,409.52, 200,583.18 and 84,967.32

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Solution

The fourth proportional to 145,409.52, 200,583.18 and 84,967.32 is: 117,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,409.52 : 200,583.18 = 84,967.32 : x
  2. Step 2: Convert to fraction form
    145,409.52/200,583.18 = 84,967.32/x
  3. Step 3: Cross multiply
    145,409.52x = 200,583.18 × 84,967.32
  4. Step 4: Simplify right side
    145,409.52x = 17,043,015,241.68
  5. Step 5: Solve for x
    x = 17,043,015,241.68/145,409.52
  6. Step 6: Final answer
    x = 117,207.01

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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.