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Finding the Fourth Proportional to 310,256.66, 465,126.64 and 120,672.48

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Solution

The fourth proportional to 310,256.66, 465,126.64 and 120,672.48 is: 180,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,256.66 : 465,126.64 = 120,672.48 : x
  2. Step 2: Convert to fraction form
    310,256.66/465,126.64 = 120,672.48/x
  3. Step 3: Cross multiply
    310,256.66x = 465,126.64 × 120,672.48
  4. Step 4: Simplify right side
    310,256.66x = 56,127,986,605.41
  5. Step 5: Solve for x
    x = 56,127,986,605.41/310,256.66
  6. Step 6: Final answer
    x = 180,908.24

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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.