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Finding the Fourth Proportional to 328,102.80, 492,154.20 and 162,214.80

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Solution

The fourth proportional to 328,102.80, 492,154.20 and 162,214.80 is: 243,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,102.80 : 492,154.20 = 162,214.80 : x
  2. Step 2: Convert to fraction form
    328,102.80/492,154.20 = 162,214.80/x
  3. Step 3: Cross multiply
    328,102.80x = 492,154.20 × 162,214.80
  4. Step 4: Simplify right side
    328,102.80x = 79,834,695,122.16
  5. Step 5: Solve for x
    x = 79,834,695,122.16/328,102.80
  6. Step 6: Final answer
    x = 243,322.20

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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.