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Finding the Fourth Proportional to 163,741.84, 245,612.74 and 45,413.17

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Solution

The fourth proportional to 163,741.84, 245,612.74 and 45,413.17 is: 68,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,741.84 : 245,612.74 = 45,413.17 : x
  2. Step 2: Convert to fraction form
    163,741.84/245,612.74 = 45,413.17/x
  3. Step 3: Cross multiply
    163,741.84x = 245,612.74 × 45,413.17
  4. Step 4: Simplify right side
    163,741.84x = 11,154,052,888.72
  5. Step 5: Solve for x
    x = 11,154,052,888.72/163,741.84
  6. Step 6: Final answer
    x = 68,119.75

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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.