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Finding the Fourth Proportional to 189,851.02, 285,293.84 and 101,167.90

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Solution

The fourth proportional to 189,851.02, 285,293.84 and 101,167.90 is: 152,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,851.02 : 285,293.84 = 101,167.90 : x
  2. Step 2: Convert to fraction form
    189,851.02/285,293.84 = 101,167.90/x
  3. Step 3: Cross multiply
    189,851.02x = 285,293.84 × 101,167.90
  4. Step 4: Simplify right side
    189,851.02x = 28,862,578,675.74
  5. Step 5: Solve for x
    x = 28,862,578,675.74/189,851.02
  6. Step 6: Final answer
    x = 152,027.51

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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.