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Finding the Fourth Proportional to 213,147.69, 319,603.98 and 86,755.50

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Solution

The fourth proportional to 213,147.69, 319,603.98 and 86,755.50 is: 130,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,147.69 : 319,603.98 = 86,755.50 : x
  2. Step 2: Convert to fraction form
    213,147.69/319,603.98 = 86,755.50/x
  3. Step 3: Cross multiply
    213,147.69x = 319,603.98 × 86,755.50
  4. Step 4: Simplify right side
    213,147.69x = 27,727,403,086.89
  5. Step 5: Solve for x
    x = 27,727,403,086.89/213,147.69
  6. Step 6: Final answer
    x = 130,085.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.