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Finding the Fourth Proportional to 362,077.25, 543,106.69 and 172,671.50

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Solution

The fourth proportional to 362,077.25, 543,106.69 and 172,671.50 is: 259,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,077.25 : 543,106.69 = 172,671.50 : x
  2. Step 2: Convert to fraction form
    362,077.25/543,106.69 = 172,671.50/x
  3. Step 3: Cross multiply
    362,077.25x = 543,106.69 × 172,671.50
  4. Step 4: Simplify right side
    362,077.25x = 93,779,047,748.42
  5. Step 5: Solve for x
    x = 93,779,047,748.42/362,077.25
  6. Step 6: Final answer
    x = 259,002.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.