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Finding the Fourth Proportional to 162,254.16, 223,656.72 and 149,219.64

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Solution

The fourth proportional to 162,254.16, 223,656.72 and 149,219.64 is: 205,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,254.16 : 223,656.72 = 149,219.64 : x
  2. Step 2: Convert to fraction form
    162,254.16/223,656.72 = 149,219.64/x
  3. Step 3: Cross multiply
    162,254.16x = 223,656.72 × 149,219.64
  4. Step 4: Simplify right side
    162,254.16x = 33,373,975,241.98
  5. Step 5: Solve for x
    x = 33,373,975,241.98/162,254.16
  6. Step 6: Final answer
    x = 205,689.49

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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.