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Finding the Fourth Proportional to 208,693.14, 287,996.52 and 118,047.16

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Solution

The fourth proportional to 208,693.14, 287,996.52 and 118,047.16 is: 162,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,693.14 : 287,996.52 = 118,047.16 : x
  2. Step 2: Convert to fraction form
    208,693.14/287,996.52 = 118,047.16/x
  3. Step 3: Cross multiply
    208,693.14x = 287,996.52 × 118,047.16
  4. Step 4: Simplify right side
    208,693.14x = 33,997,171,275.88
  5. Step 5: Solve for x
    x = 33,997,171,275.88/208,693.14
  6. Step 6: Final answer
    x = 162,905.08

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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.