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Finding the Fourth Proportional to 102,214.40, 153,321.60 and 62,848.40

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Solution

The fourth proportional to 102,214.40, 153,321.60 and 62,848.40 is: 94,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,214.40 : 153,321.60 = 62,848.40 : x
  2. Step 2: Convert to fraction form
    102,214.40/153,321.60 = 62,848.40/x
  3. Step 3: Cross multiply
    102,214.40x = 153,321.60 × 62,848.40
  4. Step 4: Simplify right side
    102,214.40x = 9,636,017,245.44
  5. Step 5: Solve for x
    x = 9,636,017,245.44/102,214.40
  6. Step 6: Final answer
    x = 94,272.60

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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.