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Finding the Fourth Proportional to 153,413.68, 211,697.40 and 85,425.52

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Solution

The fourth proportional to 153,413.68, 211,697.40 and 85,425.52 is: 117,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,413.68 : 211,697.40 = 85,425.52 : x
  2. Step 2: Convert to fraction form
    153,413.68/211,697.40 = 85,425.52/x
  3. Step 3: Cross multiply
    153,413.68x = 211,697.40 × 85,425.52
  4. Step 4: Simplify right side
    153,413.68x = 18,084,360,477.65
  5. Step 5: Solve for x
    x = 18,084,360,477.65/153,413.68
  6. Step 6: Final answer
    x = 117,879.71

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