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Finding the Fourth Proportional to 175,188.50, 262,577.76 and 80,427.84

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Solution

The fourth proportional to 175,188.50, 262,577.76 and 80,427.84 is: 120,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,188.50 : 262,577.76 = 80,427.84 : x
  2. Step 2: Convert to fraction form
    175,188.50/262,577.76 = 80,427.84/x
  3. Step 3: Cross multiply
    175,188.50x = 262,577.76 × 80,427.84
  4. Step 4: Simplify right side
    175,188.50x = 21,118,562,068.84
  5. Step 5: Solve for x
    x = 21,118,562,068.84/175,188.50
  6. Step 6: Final answer
    x = 120,547.65

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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.