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Finding the Fourth Proportional to 204,903.60, 307,355.40 and 116,330.10

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Solution

The fourth proportional to 204,903.60, 307,355.40 and 116,330.10 is: 174,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,903.60 : 307,355.40 = 116,330.10 : x
  2. Step 2: Convert to fraction form
    204,903.60/307,355.40 = 116,330.10/x
  3. Step 3: Cross multiply
    204,903.60x = 307,355.40 × 116,330.10
  4. Step 4: Simplify right side
    204,903.60x = 35,754,684,417.54
  5. Step 5: Solve for x
    x = 35,754,684,417.54/204,903.60
  6. Step 6: Final answer
    x = 174,495.15

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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.