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Finding the Fourth Proportional to 283,083.84, 390,648.51 and 154,016.82

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Solution

The fourth proportional to 283,083.84, 390,648.51 and 154,016.82 is: 212,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,083.84 : 390,648.51 = 154,016.82 : x
  2. Step 2: Convert to fraction form
    283,083.84/390,648.51 = 154,016.82/x
  3. Step 3: Cross multiply
    283,083.84x = 390,648.51 × 154,016.82
  4. Step 4: Simplify right side
    283,083.84x = 60,166,441,247.94
  5. Step 5: Solve for x
    x = 60,166,441,247.94/283,083.84
  6. Step 6: Final answer
    x = 212,539.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.