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Finding the Fourth Proportional to 260,345.26, 390,368.42 and 102,487.60

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Solution

The fourth proportional to 260,345.26, 390,368.42 and 102,487.60 is: 153,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,345.26 : 390,368.42 = 102,487.60 : x
  2. Step 2: Convert to fraction form
    260,345.26/390,368.42 = 102,487.60/x
  3. Step 3: Cross multiply
    260,345.26x = 390,368.42 × 102,487.60
  4. Step 4: Simplify right side
    260,345.26x = 40,007,922,481.59
  5. Step 5: Solve for x
    x = 40,007,922,481.59/260,345.26
  6. Step 6: Final answer
    x = 153,672.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.