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Finding the Fourth Proportional to 201,254.10, 301,963.74 and 106,458.93

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Solution

The fourth proportional to 201,254.10, 301,963.74 and 106,458.93 is: 159,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,254.10 : 301,963.74 = 106,458.93 : x
  2. Step 2: Convert to fraction form
    201,254.10/301,963.74 = 106,458.93/x
  3. Step 3: Cross multiply
    201,254.10x = 301,963.74 × 106,458.93
  4. Step 4: Simplify right side
    201,254.10x = 32,146,736,659.20
  5. Step 5: Solve for x
    x = 32,146,736,659.20/201,254.10
  6. Step 6: Final answer
    x = 159,732.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.