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Finding the Fourth Proportional to 210,413.44, 290,372.16 and 114,918.40

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Solution

The fourth proportional to 210,413.44, 290,372.16 and 114,918.40 is: 158,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,413.44 : 290,372.16 = 114,918.40 : x
  2. Step 2: Convert to fraction form
    210,413.44/290,372.16 = 114,918.40/x
  3. Step 3: Cross multiply
    210,413.44x = 290,372.16 × 114,918.40
  4. Step 4: Simplify right side
    210,413.44x = 33,369,104,031.74
  5. Step 5: Solve for x
    x = 33,369,104,031.74/210,413.44
  6. Step 6: Final answer
    x = 158,588.27

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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.