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Finding the Fourth Proportional to 186,413.40, 257,277.33 and 134,897.76

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Solution

The fourth proportional to 186,413.40, 257,277.33 and 134,897.76 is: 186,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,413.40 : 257,277.33 = 134,897.76 : x
  2. Step 2: Convert to fraction form
    186,413.40/257,277.33 = 134,897.76/x
  3. Step 3: Cross multiply
    186,413.40x = 257,277.33 × 134,897.76
  4. Step 4: Simplify right side
    186,413.40x = 34,706,135,515.78
  5. Step 5: Solve for x
    x = 34,706,135,515.78/186,413.40
  6. Step 6: Final answer
    x = 186,178.33

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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.