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Finding the Fourth Proportional to 310,673.07, 465,618.65 and 132,969.87

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Solution

The fourth proportional to 310,673.07, 465,618.65 and 132,969.87 is: 199,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,673.07 : 465,618.65 = 132,969.87 : x
  2. Step 2: Convert to fraction form
    310,673.07/465,618.65 = 132,969.87/x
  3. Step 3: Cross multiply
    310,673.07x = 465,618.65 × 132,969.87
  4. Step 4: Simplify right side
    310,673.07x = 61,913,250,695.23
  5. Step 5: Solve for x
    x = 61,913,250,695.23/310,673.07
  6. Step 6: Final answer
    x = 199,287.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.