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Finding the Fourth Proportional to 258,720.30, 357,033.51 and 145,543.14

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Solution

The fourth proportional to 258,720.30, 357,033.51 and 145,543.14 is: 200,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,720.30 : 357,033.51 = 145,543.14 : x
  2. Step 2: Convert to fraction form
    258,720.30/357,033.51 = 145,543.14/x
  3. Step 3: Cross multiply
    258,720.30x = 357,033.51 × 145,543.14
  4. Step 4: Simplify right side
    258,720.30x = 51,963,778,130.62
  5. Step 5: Solve for x
    x = 51,963,778,130.62/258,720.30
  6. Step 6: Final answer
    x = 200,849.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.