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Finding the Fourth Proportional to 189,214.64, 260,844.87 and 148,858.32

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Solution

The fourth proportional to 189,214.64, 260,844.87 and 148,858.32 is: 205,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,214.64 : 260,844.87 = 148,858.32 : x
  2. Step 2: Convert to fraction form
    189,214.64/260,844.87 = 148,858.32/x
  3. Step 3: Cross multiply
    189,214.64x = 260,844.87 × 148,858.32
  4. Step 4: Simplify right side
    189,214.64x = 38,828,929,128.82
  5. Step 5: Solve for x
    x = 38,828,929,128.82/189,214.64
  6. Step 6: Final answer
    x = 205,211.02

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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.