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Finding the Fourth Proportional to 102,157.12, 153,173.04 and 42,166.96

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Solution

The fourth proportional to 102,157.12, 153,173.04 and 42,166.96 is: 63,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,157.12 : 153,173.04 = 42,166.96 : x
  2. Step 2: Convert to fraction form
    102,157.12/153,173.04 = 42,166.96/x
  3. Step 3: Cross multiply
    102,157.12x = 153,173.04 × 42,166.96
  4. Step 4: Simplify right side
    102,157.12x = 6,458,841,450.76
  5. Step 5: Solve for x
    x = 6,458,841,450.76/102,157.12
  6. Step 6: Final answer
    x = 63,224.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.