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Finding the Fourth Proportional to 214,482.38, 321,715.49 and 64,718.69

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Solution

The fourth proportional to 214,482.38, 321,715.49 and 64,718.69 is: 97,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,482.38 : 321,715.49 = 64,718.69 : x
  2. Step 2: Convert to fraction form
    214,482.38/321,715.49 = 64,718.69/x
  3. Step 3: Cross multiply
    214,482.38x = 321,715.49 × 64,718.69
  4. Step 4: Simplify right side
    214,482.38x = 20,821,003,133.34
  5. Step 5: Solve for x
    x = 20,821,003,133.34/214,482.38
  6. Step 6: Final answer
    x = 97,075.59

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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.