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Finding the Fourth Proportional to 258,725.68, 357,038.04 and 145,548.40

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Solution

The fourth proportional to 258,725.68, 357,038.04 and 145,548.40 is: 200,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,725.68 : 357,038.04 = 145,548.40 : x
  2. Step 2: Convert to fraction form
    258,725.68/357,038.04 = 145,548.40/x
  3. Step 3: Cross multiply
    258,725.68x = 357,038.04 × 145,548.40
  4. Step 4: Simplify right side
    258,725.68x = 51,966,315,461.14
  5. Step 5: Solve for x
    x = 51,966,315,461.14/258,725.68
  6. Step 6: Final answer
    x = 200,854.88

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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.