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Finding the Fourth Proportional to 260,432.64, 359,354.24 and 147,240

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Solution

The fourth proportional to 260,432.64, 359,354.24 and 147,240 is: 203,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,432.64 : 359,354.24 = 147,240 : x
  2. Step 2: Convert to fraction form
    260,432.64/359,354.24 = 147,240/x
  3. Step 3: Cross multiply
    260,432.64x = 359,354.24 × 147,240
  4. Step 4: Simplify right side
    260,432.64x = 52,911,318,297.60
  5. Step 5: Solve for x
    x = 52,911,318,297.60/260,432.64
  6. Step 6: Final answer
    x = 203,167.00

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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.