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Finding the Fourth Proportional to 189,430.01, 261,413.96 and 103,389.78

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Solution

The fourth proportional to 189,430.01, 261,413.96 and 103,389.78 is: 142,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,430.01 : 261,413.96 = 103,389.78 : x
  2. Step 2: Convert to fraction form
    189,430.01/261,413.96 = 103,389.78/x
  3. Step 3: Cross multiply
    189,430.01x = 261,413.96 × 103,389.78
  4. Step 4: Simplify right side
    189,430.01x = 27,027,531,296.38
  5. Step 5: Solve for x
    x = 27,027,531,296.38/189,430.01
  6. Step 6: Final answer
    x = 142,678.20

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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.