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Finding the Fourth Proportional to 208,594.34, 287,858.46 and 117,968.10

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Solution

The fourth proportional to 208,594.34, 287,858.46 and 117,968.10 is: 162,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,594.34 : 287,858.46 = 117,968.10 : x
  2. Step 2: Convert to fraction form
    208,594.34/287,858.46 = 117,968.10/x
  3. Step 3: Cross multiply
    208,594.34x = 287,858.46 × 117,968.10
  4. Step 4: Simplify right side
    208,594.34x = 33,958,115,595.13
  5. Step 5: Solve for x
    x = 33,958,115,595.13/208,594.34
  6. Step 6: Final answer
    x = 162,795.00

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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.