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Finding the Fourth Proportional to 311,075.92, 466,688.20 and 100,714.08

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Solution

The fourth proportional to 311,075.92, 466,688.20 and 100,714.08 is: 151,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,075.92 : 466,688.20 = 100,714.08 : x
  2. Step 2: Convert to fraction form
    311,075.92/466,688.20 = 100,714.08/x
  3. Step 3: Cross multiply
    311,075.92x = 466,688.20 × 100,714.08
  4. Step 4: Simplify right side
    311,075.92x = 47,002,072,709.86
  5. Step 5: Solve for x
    x = 47,002,072,709.86/311,075.92
  6. Step 6: Final answer
    x = 151,095.18

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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.