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Finding the Fourth Proportional to 189,388, 283,932.24 and 94,569.44

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Solution

The fourth proportional to 189,388, 283,932.24 and 94,569.44 is: 141,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,388 : 283,932.24 = 94,569.44 : x
  2. Step 2: Convert to fraction form
    189,388/283,932.24 = 94,569.44/x
  3. Step 3: Cross multiply
    189,388x = 283,932.24 × 94,569.44
  4. Step 4: Simplify right side
    189,388x = 26,851,312,934.75
  5. Step 5: Solve for x
    x = 26,851,312,934.75/189,388
  6. Step 6: Final answer
    x = 141,779.38

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1.5x scale

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.