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Finding the Fourth Proportional to 133,875.99, 184,597.38 and 85,413.08

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Solution

The fourth proportional to 133,875.99, 184,597.38 and 85,413.08 is: 117,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,875.99 : 184,597.38 = 85,413.08 : x
  2. Step 2: Convert to fraction form
    133,875.99/184,597.38 = 85,413.08/x
  3. Step 3: Cross multiply
    133,875.99x = 184,597.38 × 85,413.08
  4. Step 4: Simplify right side
    133,875.99x = 15,767,031,247.22
  5. Step 5: Solve for x
    x = 15,767,031,247.22/133,875.99
  6. Step 6: Final answer
    x = 117,773.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.