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Finding the Fourth Proportional to 282,461.78, 389,795.93 and 153,399.35

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Solution

The fourth proportional to 282,461.78, 389,795.93 and 153,399.35 is: 211,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,461.78 : 389,795.93 = 153,399.35 : x
  2. Step 2: Convert to fraction form
    282,461.78/389,795.93 = 153,399.35/x
  3. Step 3: Cross multiply
    282,461.78x = 389,795.93 × 153,399.35
  4. Step 4: Simplify right side
    282,461.78x = 59,794,443,077.39
  5. Step 5: Solve for x
    x = 59,794,443,077.39/282,461.78
  6. Step 6: Final answer
    x = 211,690.38

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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.