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Finding the Fourth Proportional to 152,840.32, 210,907.20 and 85,770.88

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Solution

The fourth proportional to 152,840.32, 210,907.20 and 85,770.88 is: 118,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,840.32 : 210,907.20 = 85,770.88 : x
  2. Step 2: Convert to fraction form
    152,840.32/210,907.20 = 85,770.88/x
  3. Step 3: Cross multiply
    152,840.32x = 210,907.20 × 85,770.88
  4. Step 4: Simplify right side
    152,840.32x = 18,089,696,142.34
  5. Step 5: Solve for x
    x = 18,089,696,142.34/152,840.32
  6. Step 6: Final answer
    x = 118,356.83

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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.