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Finding the Fourth Proportional to 213,387, 294,504.90 and 127,349.63

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Solution

The fourth proportional to 213,387, 294,504.90 and 127,349.63 is: 175,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,387 : 294,504.90 = 127,349.63 : x
  2. Step 2: Convert to fraction form
    213,387/294,504.90 = 127,349.63/x
  3. Step 3: Cross multiply
    213,387x = 294,504.90 × 127,349.63
  4. Step 4: Simplify right side
    213,387x = 37,505,090,048.19
  5. Step 5: Solve for x
    x = 37,505,090,048.19/213,387
  6. Step 6: Final answer
    x = 175,760.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.