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Finding the Fourth Proportional to 189,065.16, 283,330.43 and 104,862.42

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Solution

The fourth proportional to 189,065.16, 283,330.43 and 104,862.42 is: 157,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,065.16 : 283,330.43 = 104,862.42 : x
  2. Step 2: Convert to fraction form
    189,065.16/283,330.43 = 104,862.42/x
  3. Step 3: Cross multiply
    189,065.16x = 283,330.43 × 104,862.42
  4. Step 4: Simplify right side
    189,065.16x = 29,710,714,549.44
  5. Step 5: Solve for x
    x = 29,710,714,549.44/189,065.16
  6. Step 6: Final answer
    x = 157,145.37

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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.