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Finding the Fourth Proportional to 260,893.14, 360,038.34 and 146,180.31

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Solution

The fourth proportional to 260,893.14, 360,038.34 and 146,180.31 is: 201,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,893.14 : 360,038.34 = 146,180.31 : x
  2. Step 2: Convert to fraction form
    260,893.14/360,038.34 = 146,180.31/x
  3. Step 3: Cross multiply
    260,893.14x = 360,038.34 × 146,180.31
  4. Step 4: Simplify right side
    260,893.14x = 52,630,516,153.09
  5. Step 5: Solve for x
    x = 52,630,516,153.09/260,893.14
  6. Step 6: Final answer
    x = 201,732.08

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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.