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Finding the Fourth Proportional to 209,555.64, 289,171.80 and 118,903.32

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Solution

The fourth proportional to 209,555.64, 289,171.80 and 118,903.32 is: 164,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,555.64 : 289,171.80 = 118,903.32 : x
  2. Step 2: Convert to fraction form
    209,555.64/289,171.80 = 118,903.32/x
  3. Step 3: Cross multiply
    209,555.64x = 289,171.80 × 118,903.32
  4. Step 4: Simplify right side
    209,555.64x = 34,383,487,070.38
  5. Step 5: Solve for x
    x = 34,383,487,070.38/209,555.64
  6. Step 6: Final answer
    x = 164,078.08

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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.