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Finding the Fourth Proportional to 180,369.16, 270,587.76 and 55,681

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Solution

The fourth proportional to 180,369.16, 270,587.76 and 55,681 is: 83,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,369.16 : 270,587.76 = 55,681 : x
  2. Step 2: Convert to fraction form
    180,369.16/270,587.76 = 55,681/x
  3. Step 3: Cross multiply
    180,369.16x = 270,587.76 × 55,681
  4. Step 4: Simplify right side
    180,369.16x = 15,066,597,064.56
  5. Step 5: Solve for x
    x = 15,066,597,064.56/180,369.16
  6. Step 6: Final answer
    x = 83,532.00

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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.