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Finding the Fourth Proportional to 258,710.36, 357,025.76 and 145,533.11

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Solution

The fourth proportional to 258,710.36, 357,025.76 and 145,533.11 is: 200,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,710.36 : 357,025.76 = 145,533.11 : x
  2. Step 2: Convert to fraction form
    258,710.36/357,025.76 = 145,533.11/x
  3. Step 3: Cross multiply
    258,710.36x = 357,025.76 × 145,533.11
  4. Step 4: Simplify right side
    258,710.36x = 51,959,069,202.91
  5. Step 5: Solve for x
    x = 51,959,069,202.91/258,710.36
  6. Step 6: Final answer
    x = 200,838.77

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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.