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Finding the Fourth Proportional to 147,684.80, 203,804.51 and 83,154.03

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Solution

The fourth proportional to 147,684.80, 203,804.51 and 83,154.03 is: 114,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,684.80 : 203,804.51 = 83,154.03 : x
  2. Step 2: Convert to fraction form
    147,684.80/203,804.51 = 83,154.03/x
  3. Step 3: Cross multiply
    147,684.80x = 203,804.51 × 83,154.03
  4. Step 4: Simplify right side
    147,684.80x = 16,947,165,158.64
  5. Step 5: Solve for x
    x = 16,947,165,158.64/147,684.80
  6. Step 6: Final answer
    x = 114,752.26

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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.