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Finding the Fourth Proportional to 282,114.94, 389,427.02 and 191,511.40

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Solution

The fourth proportional to 282,114.94, 389,427.02 and 191,511.40 is: 264,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,114.94 : 389,427.02 = 191,511.40 : x
  2. Step 2: Convert to fraction form
    282,114.94/389,427.02 = 191,511.40/x
  3. Step 3: Cross multiply
    282,114.94x = 389,427.02 × 191,511.40
  4. Step 4: Simplify right side
    282,114.94x = 74,579,712,840.47
  5. Step 5: Solve for x
    x = 74,579,712,840.47/282,114.94
  6. Step 6: Final answer
    x = 264,359.32

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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.