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Finding the Fourth Proportional to 282,070.89, 389,315.13 and 191,456.06

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Solution

The fourth proportional to 282,070.89, 389,315.13 and 191,456.06 is: 264,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,070.89 : 389,315.13 = 191,456.06 : x
  2. Step 2: Convert to fraction form
    282,070.89/389,315.13 = 191,456.06/x
  3. Step 3: Cross multiply
    282,070.89x = 389,315.13 × 191,456.06
  4. Step 4: Simplify right side
    282,070.89x = 74,536,738,223.65
  5. Step 5: Solve for x
    x = 74,536,738,223.65/282,070.89
  6. Step 6: Final answer
    x = 264,248.25

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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.