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Finding the Fourth Proportional to 105,200.22, 157,849.12 and 46,028.10

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Solution

The fourth proportional to 105,200.22, 157,849.12 and 46,028.10 is: 69,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,200.22 : 157,849.12 = 46,028.10 : x
  2. Step 2: Convert to fraction form
    105,200.22/157,849.12 = 46,028.10/x
  3. Step 3: Cross multiply
    105,200.22x = 157,849.12 × 46,028.10
  4. Step 4: Simplify right side
    105,200.22x = 7,265,495,080.27
  5. Step 5: Solve for x
    x = 7,265,495,080.27/105,200.22
  6. Step 6: Final answer
    x = 69,063.50

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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.