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Finding the Fourth Proportional to 410,602.82, 615,926.10 and 130,141.94

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Solution

The fourth proportional to 410,602.82, 615,926.10 and 130,141.94 is: 195,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,602.82 : 615,926.10 = 130,141.94 : x
  2. Step 2: Convert to fraction form
    410,602.82/615,926.10 = 130,141.94/x
  3. Step 3: Cross multiply
    410,602.82x = 615,926.10 × 130,141.94
  4. Step 4: Simplify right side
    410,602.82x = 80,157,814,471.00
  5. Step 5: Solve for x
    x = 80,157,814,471.00/410,602.82
  6. Step 6: Final answer
    x = 195,219.84

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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.