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Finding the Fourth Proportional to 410,074.41, 615,130.26 and 125,744.16

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Solution

The fourth proportional to 410,074.41, 615,130.26 and 125,744.16 is: 188,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,074.41 : 615,130.26 = 125,744.16 : x
  2. Step 2: Convert to fraction form
    410,074.41/615,130.26 = 125,744.16/x
  3. Step 3: Cross multiply
    410,074.41x = 615,130.26 × 125,744.16
  4. Step 4: Simplify right side
    410,074.41x = 77,349,037,834.28
  5. Step 5: Solve for x
    x = 77,349,037,834.28/410,074.41
  6. Step 6: Final answer
    x = 188,621.96

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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.