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Finding the Fourth Proportional to 102,905.40, 154,455.30 and 63,539.40

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Solution

The fourth proportional to 102,905.40, 154,455.30 and 63,539.40 is: 95,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,905.40 : 154,455.30 = 63,539.40 : x
  2. Step 2: Convert to fraction form
    102,905.40/154,455.30 = 63,539.40/x
  3. Step 3: Cross multiply
    102,905.40x = 154,455.30 × 63,539.40
  4. Step 4: Simplify right side
    102,905.40x = 9,813,997,088.82
  5. Step 5: Solve for x
    x = 9,813,997,088.82/102,905.40
  6. Step 6: Final answer
    x = 95,369.12

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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.