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Finding the Fourth Proportional to 107,152.20, 147,699.27 and 84,456

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Solution

The fourth proportional to 107,152.20, 147,699.27 and 84,456 is: 116,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,152.20 : 147,699.27 = 84,456 : x
  2. Step 2: Convert to fraction form
    107,152.20/147,699.27 = 84,456/x
  3. Step 3: Cross multiply
    107,152.20x = 147,699.27 × 84,456
  4. Step 4: Simplify right side
    107,152.20x = 12,474,089,547.12
  5. Step 5: Solve for x
    x = 12,474,089,547.12/107,152.20
  6. Step 6: Final answer
    x = 116,414.68

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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.