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Finding the Fourth Proportional to 258,902.34, 357,262.48 and 144,172.32

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Solution

The fourth proportional to 258,902.34, 357,262.48 and 144,172.32 is: 198,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,902.34 : 357,262.48 = 144,172.32 : x
  2. Step 2: Convert to fraction form
    258,902.34/357,262.48 = 144,172.32/x
  3. Step 3: Cross multiply
    258,902.34x = 357,262.48 × 144,172.32
  4. Step 4: Simplify right side
    258,902.34x = 51,507,358,083.38
  5. Step 5: Solve for x
    x = 51,507,358,083.38/258,902.34
  6. Step 6: Final answer
    x = 198,945.13

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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.