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Finding the Fourth Proportional to 159,093.12, 238,579.02 and 70,298.16

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Solution

The fourth proportional to 159,093.12, 238,579.02 and 70,298.16 is: 105,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,093.12 : 238,579.02 = 70,298.16 : x
  2. Step 2: Convert to fraction form
    159,093.12/238,579.02 = 70,298.16/x
  3. Step 3: Cross multiply
    159,093.12x = 238,579.02 × 70,298.16
  4. Step 4: Simplify right side
    159,093.12x = 16,771,666,120.60
  5. Step 5: Solve for x
    x = 16,771,666,120.60/159,093.12
  6. Step 6: Final answer
    x = 105,420.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.