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Finding the Fourth Proportional to 201,810.80, 303,742.22 and 152,141.60

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Solution

The fourth proportional to 201,810.80, 303,742.22 and 152,141.60 is: 228,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810.80 : 303,742.22 = 152,141.60 : x
  2. Step 2: Convert to fraction form
    201,810.80/303,742.22 = 152,141.60/x
  3. Step 3: Cross multiply
    201,810.80x = 303,742.22 × 152,141.60
  4. Step 4: Simplify right side
    201,810.80x = 46,211,827,338.35
  5. Step 5: Solve for x
    x = 46,211,827,338.35/201,810.80
  6. Step 6: Final answer
    x = 228,985.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.