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Finding the Fourth Proportional to 272,978.16, 376,509.35 and 180,930.98

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Solution

The fourth proportional to 272,978.16, 376,509.35 and 180,930.98 is: 249,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,978.16 : 376,509.35 = 180,930.98 : x
  2. Step 2: Convert to fraction form
    272,978.16/376,509.35 = 180,930.98/x
  3. Step 3: Cross multiply
    272,978.16x = 376,509.35 × 180,930.98
  4. Step 4: Simplify right side
    272,978.16x = 68,122,202,887.46
  5. Step 5: Solve for x
    x = 68,122,202,887.46/272,978.16
  6. Step 6: Final answer
    x = 249,551.84

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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.