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Finding the Fourth Proportional to 213,784.65, 295,010.49 and 118,285.65

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Solution

The fourth proportional to 213,784.65, 295,010.49 and 118,285.65 is: 163,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,784.65 : 295,010.49 = 118,285.65 : x
  2. Step 2: Convert to fraction form
    213,784.65/295,010.49 = 118,285.65/x
  3. Step 3: Cross multiply
    213,784.65x = 295,010.49 × 118,285.65
  4. Step 4: Simplify right side
    213,784.65x = 34,895,507,566.47
  5. Step 5: Solve for x
    x = 34,895,507,566.47/213,784.65
  6. Step 6: Final answer
    x = 163,227.38

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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.