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Finding the Fourth Proportional to 260,476.96, 359,458.32 and 145,756.96

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Solution

The fourth proportional to 260,476.96, 359,458.32 and 145,756.96 is: 201,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,476.96 : 359,458.32 = 145,756.96 : x
  2. Step 2: Convert to fraction form
    260,476.96/359,458.32 = 145,756.96/x
  3. Step 3: Cross multiply
    260,476.96x = 359,458.32 × 145,756.96
  4. Step 4: Simplify right side
    260,476.96x = 52,393,551,969.91
  5. Step 5: Solve for x
    x = 52,393,551,969.91/260,476.96
  6. Step 6: Final answer
    x = 201,144.67

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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.