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Finding the Fourth Proportional to 147,955.52, 204,168.12 and 84,281.60

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Solution

The fourth proportional to 147,955.52, 204,168.12 and 84,281.60 is: 116,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,955.52 : 204,168.12 = 84,281.60 : x
  2. Step 2: Convert to fraction form
    147,955.52/204,168.12 = 84,281.60/x
  3. Step 3: Cross multiply
    147,955.52x = 204,168.12 × 84,281.60
  4. Step 4: Simplify right side
    147,955.52x = 17,207,615,822.59
  5. Step 5: Solve for x
    x = 17,207,615,822.59/147,955.52
  6. Step 6: Final answer
    x = 116,302.63

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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.