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Finding the Fourth Proportional to 311,030.16, 466,267.41 and 121,446.42

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Solution

The fourth proportional to 311,030.16, 466,267.41 and 121,446.42 is: 182,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,030.16 : 466,267.41 = 121,446.42 : x
  2. Step 2: Convert to fraction form
    311,030.16/466,267.41 = 121,446.42/x
  3. Step 3: Cross multiply
    311,030.16x = 466,267.41 × 121,446.42
  4. Step 4: Simplify right side
    311,030.16x = 56,626,507,707.17
  5. Step 5: Solve for x
    x = 56,626,507,707.17/311,030.16
  6. Step 6: Final answer
    x = 182,061.15

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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.