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Finding the Fourth Proportional to 301,200.64, 415,637.76 and 167,056

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Solution

The fourth proportional to 301,200.64, 415,637.76 and 167,056 is: 230,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,200.64 : 415,637.76 = 167,056 : x
  2. Step 2: Convert to fraction form
    301,200.64/415,637.76 = 167,056/x
  3. Step 3: Cross multiply
    301,200.64x = 415,637.76 × 167,056
  4. Step 4: Simplify right side
    301,200.64x = 69,434,781,634.56
  5. Step 5: Solve for x
    x = 69,434,781,634.56/301,200.64
  6. Step 6: Final answer
    x = 230,526.67

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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.