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Finding the Fourth Proportional to 311,133.56, 466,689.40 and 97,895.59

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Solution

The fourth proportional to 311,133.56, 466,689.40 and 97,895.59 is: 146,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,133.56 : 466,689.40 = 97,895.59 : x
  2. Step 2: Convert to fraction form
    311,133.56/466,689.40 = 97,895.59/x
  3. Step 3: Cross multiply
    311,133.56x = 466,689.40 × 97,895.59
  4. Step 4: Simplify right side
    311,133.56x = 45,686,832,748.28
  5. Step 5: Solve for x
    x = 45,686,832,748.28/311,133.56
  6. Step 6: Final answer
    x = 146,839.94

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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.