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Finding the Fourth Proportional to 272,806.68, 376,492.14 and 165,381.24

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Solution

The fourth proportional to 272,806.68, 376,492.14 and 165,381.24 is: 228,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,806.68 : 376,492.14 = 165,381.24 : x
  2. Step 2: Convert to fraction form
    272,806.68/376,492.14 = 165,381.24/x
  3. Step 3: Cross multiply
    272,806.68x = 376,492.14 × 165,381.24
  4. Step 4: Simplify right side
    272,806.68x = 62,264,736,963.45
  5. Step 5: Solve for x
    x = 62,264,736,963.45/272,806.68
  6. Step 6: Final answer
    x = 228,237.58

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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.