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Finding the Fourth Proportional to 169,413.32, 254,102.16 and 69,584.06

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Solution

The fourth proportional to 169,413.32, 254,102.16 and 69,584.06 is: 104,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,413.32 : 254,102.16 = 69,584.06 : x
  2. Step 2: Convert to fraction form
    169,413.32/254,102.16 = 69,584.06/x
  3. Step 3: Cross multiply
    169,413.32x = 254,102.16 × 69,584.06
  4. Step 4: Simplify right side
    169,413.32x = 17,681,459,947.57
  5. Step 5: Solve for x
    x = 17,681,459,947.57/169,413.32
  6. Step 6: Final answer
    x = 104,368.77

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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.