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Finding the Fourth Proportional to 201,605.20, 302,407.80 and 164,280.40

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Solution

The fourth proportional to 201,605.20, 302,407.80 and 164,280.40 is: 246,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,605.20 : 302,407.80 = 164,280.40 : x
  2. Step 2: Convert to fraction form
    201,605.20/302,407.80 = 164,280.40/x
  3. Step 3: Cross multiply
    201,605.20x = 302,407.80 × 164,280.40
  4. Step 4: Simplify right side
    201,605.20x = 49,679,674,347.12
  5. Step 5: Solve for x
    x = 49,679,674,347.12/201,605.20
  6. Step 6: Final answer
    x = 246,420.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.