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Finding the Fourth Proportional to 242,907.50, 364,419.60 and 76,695.50

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Solution

The fourth proportional to 242,907.50, 364,419.60 and 76,695.50 is: 115,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,907.50 : 364,419.60 = 76,695.50 : x
  2. Step 2: Convert to fraction form
    242,907.50/364,419.60 = 76,695.50/x
  3. Step 3: Cross multiply
    242,907.50x = 364,419.60 × 76,695.50
  4. Step 4: Simplify right side
    242,907.50x = 27,949,343,431.80
  5. Step 5: Solve for x
    x = 27,949,343,431.80/242,907.50
  6. Step 6: Final answer
    x = 115,061.67

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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.