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Finding the Fourth Proportional to 263,776.84, 395,681.34 and 86,302.60

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Solution

The fourth proportional to 263,776.84, 395,681.34 and 86,302.60 is: 129,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,776.84 : 395,681.34 = 86,302.60 : x
  2. Step 2: Convert to fraction form
    263,776.84/395,681.34 = 86,302.60/x
  3. Step 3: Cross multiply
    263,776.84x = 395,681.34 × 86,302.60
  4. Step 4: Simplify right side
    263,776.84x = 34,148,328,413.48
  5. Step 5: Solve for x
    x = 34,148,328,413.48/263,776.84
  6. Step 6: Final answer
    x = 129,459.16

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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.