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Finding the Fourth Proportional to 153,741.42, 212,163.48 and 85,756.64

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Solution

The fourth proportional to 153,741.42, 212,163.48 and 85,756.64 is: 118,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,741.42 : 212,163.48 = 85,756.64 : x
  2. Step 2: Convert to fraction form
    153,741.42/212,163.48 = 85,756.64/x
  3. Step 3: Cross multiply
    153,741.42x = 212,163.48 × 85,756.64
  4. Step 4: Simplify right side
    153,741.42x = 18,194,427,175.51
  5. Step 5: Solve for x
    x = 18,194,427,175.51/153,741.42
  6. Step 6: Final answer
    x = 118,344.34

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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.