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Finding the Fourth Proportional to 295,121.96, 407,267.46 and 160,985

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Solution

The fourth proportional to 295,121.96, 407,267.46 and 160,985 is: 222,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,121.96 : 407,267.46 = 160,985 : x
  2. Step 2: Convert to fraction form
    295,121.96/407,267.46 = 160,985/x
  3. Step 3: Cross multiply
    295,121.96x = 407,267.46 × 160,985
  4. Step 4: Simplify right side
    295,121.96x = 65,563,952,048.10
  5. Step 5: Solve for x
    x = 65,563,952,048.10/295,121.96
  6. Step 6: Final answer
    x = 222,158.84

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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.