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Finding the Fourth Proportional to 204,075.72, 306,113.14 and 54,316

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Solution

The fourth proportional to 204,075.72, 306,113.14 and 54,316 is: 81,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,075.72 : 306,113.14 = 54,316 : x
  2. Step 2: Convert to fraction form
    204,075.72/306,113.14 = 54,316/x
  3. Step 3: Cross multiply
    204,075.72x = 306,113.14 × 54,316
  4. Step 4: Simplify right side
    204,075.72x = 16,626,841,312.24
  5. Step 5: Solve for x
    x = 16,626,841,312.24/204,075.72
  6. Step 6: Final answer
    x = 81,473.88

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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.