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Finding the Fourth Proportional to 210,413.67, 290,359.94 and 114,901.71

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Solution

The fourth proportional to 210,413.67, 290,359.94 and 114,901.71 is: 158,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,413.67 : 290,359.94 = 114,901.71 : x
  2. Step 2: Convert to fraction form
    210,413.67/290,359.94 = 114,901.71/x
  3. Step 3: Cross multiply
    210,413.67x = 290,359.94 × 114,901.71
  4. Step 4: Simplify right side
    210,413.67x = 33,362,853,046.99
  5. Step 5: Solve for x
    x = 33,362,853,046.99/210,413.67
  6. Step 6: Final answer
    x = 158,558.39

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1.5x scale

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.