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Finding the Fourth Proportional to 260,826.32, 359,948.88 and 147,646.64

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Solution

The fourth proportional to 260,826.32, 359,948.88 and 147,646.64 is: 203,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,826.32 : 359,948.88 = 147,646.64 : x
  2. Step 2: Convert to fraction form
    260,826.32/359,948.88 = 147,646.64/x
  3. Step 3: Cross multiply
    260,826.32x = 359,948.88 × 147,646.64
  4. Step 4: Simplify right side
    260,826.32x = 53,145,242,703.76
  5. Step 5: Solve for x
    x = 53,145,242,703.76/260,826.32
  6. Step 6: Final answer
    x = 203,757.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.