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Finding the Fourth Proportional to 201,802.10, 302,557.35 and 113,082.80

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Solution

The fourth proportional to 201,802.10, 302,557.35 and 113,082.80 is: 169,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,802.10 : 302,557.35 = 113,082.80 : x
  2. Step 2: Convert to fraction form
    201,802.10/302,557.35 = 113,082.80/x
  3. Step 3: Cross multiply
    201,802.10x = 302,557.35 × 113,082.80
  4. Step 4: Simplify right side
    201,802.10x = 34,214,032,298.58
  5. Step 5: Solve for x
    x = 34,214,032,298.58/201,802.10
  6. Step 6: Final answer
    x = 169,542.50

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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.