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Finding the Fourth Proportional to 260,346.25, 390,369.93 and 102,488.59

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Solution

The fourth proportional to 260,346.25, 390,369.93 and 102,488.59 is: 153,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,346.25 : 390,369.93 = 102,488.59 : x
  2. Step 2: Convert to fraction form
    260,346.25/390,369.93 = 102,488.59/x
  3. Step 3: Cross multiply
    260,346.25x = 390,369.93 × 102,488.59
  4. Step 4: Simplify right side
    260,346.25x = 40,008,463,704.10
  5. Step 5: Solve for x
    x = 40,008,463,704.10/260,346.25
  6. Step 6: Final answer
    x = 153,674.05

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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.