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Finding the Fourth Proportional to 152,106, 209,907 and 85,050.96

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Solution

The fourth proportional to 152,106, 209,907 and 85,050.96 is: 117,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,106 : 209,907 = 85,050.96 : x
  2. Step 2: Convert to fraction form
    152,106/209,907 = 85,050.96/x
  3. Step 3: Cross multiply
    152,106x = 209,907 × 85,050.96
  4. Step 4: Simplify right side
    152,106x = 17,852,791,860.72
  5. Step 5: Solve for x
    x = 17,852,791,860.72/152,106
  6. Step 6: Final answer
    x = 117,370.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.