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Finding the Fourth Proportional to 262,642.10, 362,419.11 and 147,902.49

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Solution

The fourth proportional to 262,642.10, 362,419.11 and 147,902.49 is: 204,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,642.10 : 362,419.11 = 147,902.49 : x
  2. Step 2: Convert to fraction form
    262,642.10/362,419.11 = 147,902.49/x
  3. Step 3: Cross multiply
    262,642.10x = 362,419.11 × 147,902.49
  4. Step 4: Simplify right side
    262,642.10x = 53,602,688,792.58
  5. Step 5: Solve for x
    x = 53,602,688,792.58/262,642.10
  6. Step 6: Final answer
    x = 204,090.24

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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.