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Finding the Fourth Proportional to 283,977.24, 391,888.62 and 156,653.16

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Solution

The fourth proportional to 283,977.24, 391,888.62 and 156,653.16 is: 216,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,977.24 : 391,888.62 = 156,653.16 : x
  2. Step 2: Convert to fraction form
    283,977.24/391,888.62 = 156,653.16/x
  3. Step 3: Cross multiply
    283,977.24x = 391,888.62 × 156,653.16
  4. Step 4: Simplify right side
    283,977.24x = 61,390,590,691.04
  5. Step 5: Solve for x
    x = 61,390,590,691.04/283,977.24
  6. Step 6: Final answer
    x = 216,181.38

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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.