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Finding the Fourth Proportional to 142,075.66, 196,063.45 and 78,413.46

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Solution

The fourth proportional to 142,075.66, 196,063.45 and 78,413.46 is: 108,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,075.66 : 196,063.45 = 78,413.46 : x
  2. Step 2: Convert to fraction form
    142,075.66/196,063.45 = 78,413.46/x
  3. Step 3: Cross multiply
    142,075.66x = 196,063.45 × 78,413.46
  4. Step 4: Simplify right side
    142,075.66x = 15,374,012,121.65
  5. Step 5: Solve for x
    x = 15,374,012,121.65/142,075.66
  6. Step 6: Final answer
    x = 108,210.03

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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.