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Finding the Fourth Proportional to 281,285.82, 388,174.86 and 153,969.48

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Solution

The fourth proportional to 281,285.82, 388,174.86 and 153,969.48 is: 212,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,285.82 : 388,174.86 = 153,969.48 : x
  2. Step 2: Convert to fraction form
    281,285.82/388,174.86 = 153,969.48/x
  3. Step 3: Cross multiply
    281,285.82x = 388,174.86 × 153,969.48
  4. Step 4: Simplify right side
    281,285.82x = 59,767,081,343.27
  5. Step 5: Solve for x
    x = 59,767,081,343.27/281,285.82
  6. Step 6: Final answer
    x = 212,478.12

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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.