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Finding the Fourth Proportional to 103,843.58, 143,304.14 and 56,096.93

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Solution

The fourth proportional to 103,843.58, 143,304.14 and 56,096.93 is: 77,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,843.58 : 143,304.14 = 56,096.93 : x
  2. Step 2: Convert to fraction form
    103,843.58/143,304.14 = 56,096.93/x
  3. Step 3: Cross multiply
    103,843.58x = 143,304.14 × 56,096.93
  4. Step 4: Simplify right side
    103,843.58x = 8,038,922,310.29
  5. Step 5: Solve for x
    x = 8,038,922,310.29/103,843.58
  6. Step 6: Final answer
    x = 77,413.76

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1.5x scale

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.