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Finding the Fourth Proportional to 264,082.76, 364,480.78 and 156,712

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Solution

The fourth proportional to 264,082.76, 364,480.78 and 156,712 is: 216,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,082.76 : 364,480.78 = 156,712 : x
  2. Step 2: Convert to fraction form
    264,082.76/364,480.78 = 156,712/x
  3. Step 3: Cross multiply
    264,082.76x = 364,480.78 × 156,712
  4. Step 4: Simplify right side
    264,082.76x = 57,118,511,995.36
  5. Step 5: Solve for x
    x = 57,118,511,995.36/264,082.76
  6. Step 6: Final answer
    x = 216,290.20

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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.