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Finding the Fourth Proportional to 282,526.56, 389,891.52 and 155,207.52

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Solution

The fourth proportional to 282,526.56, 389,891.52 and 155,207.52 is: 214,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,526.56 : 389,891.52 = 155,207.52 : x
  2. Step 2: Convert to fraction form
    282,526.56/389,891.52 = 155,207.52/x
  3. Step 3: Cross multiply
    282,526.56x = 389,891.52 × 155,207.52
  4. Step 4: Simplify right side
    282,526.56x = 60,514,095,888.23
  5. Step 5: Solve for x
    x = 60,514,095,888.23/282,526.56
  6. Step 6: Final answer
    x = 214,189.05

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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.