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Finding the Fourth Proportional to 257,276.44, 385,914.66 and 117,075.16

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Solution

The fourth proportional to 257,276.44, 385,914.66 and 117,075.16 is: 175,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,276.44 : 385,914.66 = 117,075.16 : x
  2. Step 2: Convert to fraction form
    257,276.44/385,914.66 = 117,075.16/x
  3. Step 3: Cross multiply
    257,276.44x = 385,914.66 × 117,075.16
  4. Step 4: Simplify right side
    257,276.44x = 45,181,020,565.85
  5. Step 5: Solve for x
    x = 45,181,020,565.85/257,276.44
  6. Step 6: Final answer
    x = 175,612.74

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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.