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Finding the Fourth Proportional to 262,023.64, 361,602.30 and 148,865.56

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Solution

The fourth proportional to 262,023.64, 361,602.30 and 148,865.56 is: 205,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,023.64 : 361,602.30 = 148,865.56 : x
  2. Step 2: Convert to fraction form
    262,023.64/361,602.30 = 148,865.56/x
  3. Step 3: Cross multiply
    262,023.64x = 361,602.30 × 148,865.56
  4. Step 4: Simplify right side
    262,023.64x = 53,830,128,886.79
  5. Step 5: Solve for x
    x = 53,830,128,886.79/262,023.64
  6. Step 6: Final answer
    x = 205,439.97

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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.