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Finding the Fourth Proportional to 202,454.40, 303,681.60 and 155,215.20

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Solution

The fourth proportional to 202,454.40, 303,681.60 and 155,215.20 is: 232,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,454.40 : 303,681.60 = 155,215.20 : x
  2. Step 2: Convert to fraction form
    202,454.40/303,681.60 = 155,215.20/x
  3. Step 3: Cross multiply
    202,454.40x = 303,681.60 × 155,215.20
  4. Step 4: Simplify right side
    202,454.40x = 47,136,000,280.32
  5. Step 5: Solve for x
    x = 47,136,000,280.32/202,454.40
  6. Step 6: Final answer
    x = 232,822.80

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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.