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Finding the Fourth Proportional to 122,034.90, 183,161.70 and 105,413.70

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Solution

The fourth proportional to 122,034.90, 183,161.70 and 105,413.70 is: 158,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,034.90 : 183,161.70 = 105,413.70 : x
  2. Step 2: Convert to fraction form
    122,034.90/183,161.70 = 105,413.70/x
  3. Step 3: Cross multiply
    122,034.90x = 183,161.70 × 105,413.70
  4. Step 4: Simplify right side
    122,034.90x = 19,307,752,495.29
  5. Step 5: Solve for x
    x = 19,307,752,495.29/122,034.90
  6. Step 6: Final answer
    x = 158,215.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.