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Finding the Fourth Proportional to 282,005.16, 389,216.88 and 167,347.03

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Solution

The fourth proportional to 282,005.16, 389,216.88 and 167,347.03 is: 230,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,005.16 : 389,216.88 = 167,347.03 : x
  2. Step 2: Convert to fraction form
    282,005.16/389,216.88 = 167,347.03/x
  3. Step 3: Cross multiply
    282,005.16x = 389,216.88 × 167,347.03
  4. Step 4: Simplify right side
    282,005.16x = 65,134,289,745.28
  5. Step 5: Solve for x
    x = 65,134,289,745.28/282,005.16
  6. Step 6: Final answer
    x = 230,968.43

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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.