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Finding the Fourth Proportional to 102,611.28, 153,700.88 and 52,539.20

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Solution

The fourth proportional to 102,611.28, 153,700.88 and 52,539.20 is: 78,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,611.28 : 153,700.88 = 52,539.20 : x
  2. Step 2: Convert to fraction form
    102,611.28/153,700.88 = 52,539.20/x
  3. Step 3: Cross multiply
    102,611.28x = 153,700.88 × 52,539.20
  4. Step 4: Simplify right side
    102,611.28x = 8,075,321,274.50
  5. Step 5: Solve for x
    x = 8,075,321,274.50/102,611.28
  6. Step 6: Final answer
    x = 78,698.18

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Why These Related Problems?

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