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Finding the Fourth Proportional to 142,075.94, 196,064.39 and 78,413.29

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Solution

The fourth proportional to 142,075.94, 196,064.39 and 78,413.29 is: 108,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,075.94 : 196,064.39 = 78,413.29 : x
  2. Step 2: Convert to fraction form
    142,075.94/196,064.39 = 78,413.29/x
  3. Step 3: Cross multiply
    142,075.94x = 196,064.39 × 78,413.29
  4. Step 4: Simplify right side
    142,075.94x = 15,374,053,871.74
  5. Step 5: Solve for x
    x = 15,374,053,871.74/142,075.94
  6. Step 6: Final answer
    x = 108,210.12

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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.