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Finding the Fourth Proportional to 282,006.64, 389,090.28 and 181,462.96

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Solution

The fourth proportional to 282,006.64, 389,090.28 and 181,462.96 is: 250,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,006.64 : 389,090.28 = 181,462.96 : x
  2. Step 2: Convert to fraction form
    282,006.64/389,090.28 = 181,462.96/x
  3. Step 3: Cross multiply
    282,006.64x = 389,090.28 × 181,462.96
  4. Step 4: Simplify right side
    282,006.64x = 70,605,473,916.03
  5. Step 5: Solve for x
    x = 70,605,473,916.03/282,006.64
  6. Step 6: Final answer
    x = 250,368.13

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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.