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Finding the Fourth Proportional to 127,413.84, 175,837.32 and 70,824

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Solution

The fourth proportional to 127,413.84, 175,837.32 and 70,824 is: 97,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,413.84 : 175,837.32 = 70,824 : x
  2. Step 2: Convert to fraction form
    127,413.84/175,837.32 = 70,824/x
  3. Step 3: Cross multiply
    127,413.84x = 175,837.32 × 70,824
  4. Step 4: Simplify right side
    127,413.84x = 12,453,502,351.68
  5. Step 5: Solve for x
    x = 12,453,502,351.68/127,413.84
  6. Step 6: Final answer
    x = 97,740.58

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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.