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Finding the Fourth Proportional to 189,977.16, 284,994.90 and 65,289

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Solution

The fourth proportional to 189,977.16, 284,994.90 and 65,289 is: 97,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,977.16 : 284,994.90 = 65,289 : x
  2. Step 2: Convert to fraction form
    189,977.16/284,994.90 = 65,289/x
  3. Step 3: Cross multiply
    189,977.16x = 284,994.90 × 65,289
  4. Step 4: Simplify right side
    189,977.16x = 18,607,032,026.10
  5. Step 5: Solve for x
    x = 18,607,032,026.10/189,977.16
  6. Step 6: Final answer
    x = 97,943.52

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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.