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Finding the Fourth Proportional to 204,841, 282,681.75 and 114,202.66

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Solution

The fourth proportional to 204,841, 282,681.75 and 114,202.66 is: 157,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,841 : 282,681.75 = 114,202.66 : x
  2. Step 2: Convert to fraction form
    204,841/282,681.75 = 114,202.66/x
  3. Step 3: Cross multiply
    204,841x = 282,681.75 × 114,202.66
  4. Step 4: Simplify right side
    204,841x = 32,283,007,783.46
  5. Step 5: Solve for x
    x = 32,283,007,783.46/204,841
  6. Step 6: Final answer
    x = 157,600.32

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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.