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Finding the Fourth Proportional to 261,413.60, 392,250.12 and 103,638.56

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Solution

The fourth proportional to 261,413.60, 392,250.12 and 103,638.56 is: 155,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,413.60 : 392,250.12 = 103,638.56 : x
  2. Step 2: Convert to fraction form
    261,413.60/392,250.12 = 103,638.56/x
  3. Step 3: Cross multiply
    261,413.60x = 392,250.12 × 103,638.56
  4. Step 4: Simplify right side
    261,413.60x = 40,652,237,596.63
  5. Step 5: Solve for x
    x = 40,652,237,596.63/261,413.60
  6. Step 6: Final answer
    x = 155,509.27

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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.