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Finding the Fourth Proportional to 189,675.77, 284,673.28 and 94,877.52

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Solution

The fourth proportional to 189,675.77, 284,673.28 and 94,877.52 is: 142,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,675.77 : 284,673.28 = 94,877.52 : x
  2. Step 2: Convert to fraction form
    189,675.77/284,673.28 = 94,877.52/x
  3. Step 3: Cross multiply
    189,675.77x = 284,673.28 × 94,877.52
  4. Step 4: Simplify right side
    189,675.77x = 27,009,094,579.47
  5. Step 5: Solve for x
    x = 27,009,094,579.47/189,675.77
  6. Step 6: Final answer
    x = 142,396.12

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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.