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Finding the Fourth Proportional to 208,548.54, 287,801.46 and 117,899.10

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Solution

The fourth proportional to 208,548.54, 287,801.46 and 117,899.10 is: 162,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,548.54 : 287,801.46 = 117,899.10 : x
  2. Step 2: Convert to fraction form
    208,548.54/287,801.46 = 117,899.10/x
  3. Step 3: Cross multiply
    208,548.54x = 287,801.46 × 117,899.10
  4. Step 4: Simplify right side
    208,548.54x = 33,931,533,112.69
  5. Step 5: Solve for x
    x = 33,931,533,112.69/208,548.54
  6. Step 6: Final answer
    x = 162,703.29

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1.5x scale

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.