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Finding the Fourth Proportional to 201,666.90, 302,500.35 and 83,423.10

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Solution

The fourth proportional to 201,666.90, 302,500.35 and 83,423.10 is: 125,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,666.90 : 302,500.35 = 83,423.10 : x
  2. Step 2: Convert to fraction form
    201,666.90/302,500.35 = 83,423.10/x
  3. Step 3: Cross multiply
    201,666.90x = 302,500.35 × 83,423.10
  4. Step 4: Simplify right side
    201,666.90x = 25,235,516,948.09
  5. Step 5: Solve for x
    x = 25,235,516,948.09/201,666.90
  6. Step 6: Final answer
    x = 125,134.65

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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.