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Finding the Fourth Proportional to 242,284.63, 363,441.53 and 76,072.63

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Solution

The fourth proportional to 242,284.63, 363,441.53 and 76,072.63 is: 114,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,284.63 : 363,441.53 = 76,072.63 : x
  2. Step 2: Convert to fraction form
    242,284.63/363,441.53 = 76,072.63/x
  3. Step 3: Cross multiply
    242,284.63x = 363,441.53 × 76,072.63
  4. Step 4: Simplify right side
    242,284.63x = 27,647,953,038.32
  5. Step 5: Solve for x
    x = 27,647,953,038.32/242,284.63
  6. Step 6: Final answer
    x = 114,113.52

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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.