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Finding the Fourth Proportional to 282,784.31, 390,249.89 and 153,731.42

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Solution

The fourth proportional to 282,784.31, 390,249.89 and 153,731.42 is: 212,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,784.31 : 390,249.89 = 153,731.42 : x
  2. Step 2: Convert to fraction form
    282,784.31/390,249.89 = 153,731.42/x
  3. Step 3: Cross multiply
    282,784.31x = 390,249.89 × 153,731.42
  4. Step 4: Simplify right side
    282,784.31x = 59,993,671,104.50
  5. Step 5: Solve for x
    x = 59,993,671,104.50/282,784.31
  6. Step 6: Final answer
    x = 212,153.47

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