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Finding the Fourth Proportional to 110,141, 151,994.60 and 59,840

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Solution

The fourth proportional to 110,141, 151,994.60 and 59,840 is: 82,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,141 : 151,994.60 = 59,840 : x
  2. Step 2: Convert to fraction form
    110,141/151,994.60 = 59,840/x
  3. Step 3: Cross multiply
    110,141x = 151,994.60 × 59,840
  4. Step 4: Simplify right side
    110,141x = 9,095,356,864
  5. Step 5: Solve for x
    x = 9,095,356,864/110,141
  6. Step 6: Final answer
    x = 82,579.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.