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Finding the Fourth Proportional to 159,111.80, 238,662.30 and 40,784.30

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Solution

The fourth proportional to 159,111.80, 238,662.30 and 40,784.30 is: 61,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,111.80 : 238,662.30 = 40,784.30 : x
  2. Step 2: Convert to fraction form
    159,111.80/238,662.30 = 40,784.30/x
  3. Step 3: Cross multiply
    159,111.80x = 238,662.30 × 40,784.30
  4. Step 4: Simplify right side
    159,111.80x = 9,733,674,841.89
  5. Step 5: Solve for x
    x = 9,733,674,841.89/159,111.80
  6. Step 6: Final answer
    x = 61,175.07

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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.