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Finding the Fourth Proportional to 102,840.84, 154,186.74 and 69,477.48

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Solution

The fourth proportional to 102,840.84, 154,186.74 and 69,477.48 is: 104,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,840.84 : 154,186.74 = 69,477.48 : x
  2. Step 2: Convert to fraction form
    102,840.84/154,186.74 = 69,477.48/x
  3. Step 3: Cross multiply
    102,840.84x = 154,186.74 × 69,477.48
  4. Step 4: Simplify right side
    102,840.84x = 10,712,506,144.62
  5. Step 5: Solve for x
    x = 10,712,506,144.62/102,840.84
  6. Step 6: Final answer
    x = 104,165.88

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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.