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Finding the Fourth Proportional to 260,097.87, 390,124.63 and 102,325.87

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Solution

The fourth proportional to 260,097.87, 390,124.63 and 102,325.87 is: 153,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,097.87 : 390,124.63 = 102,325.87 : x
  2. Step 2: Convert to fraction form
    260,097.87/390,124.63 = 102,325.87/x
  3. Step 3: Cross multiply
    260,097.87x = 390,124.63 × 102,325.87
  4. Step 4: Simplify right side
    260,097.87x = 39,919,842,173.18
  5. Step 5: Solve for x
    x = 39,919,842,173.18/260,097.87
  6. Step 6: Final answer
    x = 153,480.08

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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.