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Finding the Fourth Proportional to 258,783.12, 357,101.46 and 145,584

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Solution

The fourth proportional to 258,783.12, 357,101.46 and 145,584 is: 200,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,783.12 : 357,101.46 = 145,584 : x
  2. Step 2: Convert to fraction form
    258,783.12/357,101.46 = 145,584/x
  3. Step 3: Cross multiply
    258,783.12x = 357,101.46 × 145,584
  4. Step 4: Simplify right side
    258,783.12x = 51,988,258,952.64
  5. Step 5: Solve for x
    x = 51,988,258,952.64/258,783.12
  6. Step 6: Final answer
    x = 200,895.09

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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.