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Finding the Fourth Proportional to 272,292, 375,369.04 and 180,257.07

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Solution

The fourth proportional to 272,292, 375,369.04 and 180,257.07 is: 248,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,292 : 375,369.04 = 180,257.07 : x
  2. Step 2: Convert to fraction form
    272,292/375,369.04 = 180,257.07/x
  3. Step 3: Cross multiply
    272,292x = 375,369.04 × 180,257.07
  4. Step 4: Simplify right side
    272,292x = 67,662,923,319.11
  5. Step 5: Solve for x
    x = 67,662,923,319.11/272,292
  6. Step 6: Final answer
    x = 248,493.98

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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.