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Finding the Fourth Proportional to 119,030.58, 164,256.57 and 65,314.44

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Solution

The fourth proportional to 119,030.58, 164,256.57 and 65,314.44 is: 90,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030.58 : 164,256.57 = 65,314.44 : x
  2. Step 2: Convert to fraction form
    119,030.58/164,256.57 = 65,314.44/x
  3. Step 3: Cross multiply
    119,030.58x = 164,256.57 × 65,314.44
  4. Step 4: Simplify right side
    119,030.58x = 10,728,325,885.87
  5. Step 5: Solve for x
    x = 10,728,325,885.87/119,030.58
  6. Step 6: Final answer
    x = 90,130.84

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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.