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Finding the Fourth Proportional to 258,724.46, 357,039.21 and 145,547.21

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Solution

The fourth proportional to 258,724.46, 357,039.21 and 145,547.21 is: 200,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,724.46 : 357,039.21 = 145,547.21 : x
  2. Step 2: Convert to fraction form
    258,724.46/357,039.21 = 145,547.21/x
  3. Step 3: Cross multiply
    258,724.46x = 357,039.21 × 145,547.21
  4. Step 4: Simplify right side
    258,724.46x = 51,966,058,363.17
  5. Step 5: Solve for x
    x = 51,966,058,363.17/258,724.46
  6. Step 6: Final answer
    x = 200,854.84

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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.