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Finding the Fourth Proportional to 229,710.36, 317,007.15 and 139,082.90

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Solution

The fourth proportional to 229,710.36, 317,007.15 and 139,082.90 is: 191,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,710.36 : 317,007.15 = 139,082.90 : x
  2. Step 2: Convert to fraction form
    229,710.36/317,007.15 = 139,082.90/x
  3. Step 3: Cross multiply
    229,710.36x = 317,007.15 × 139,082.90
  4. Step 4: Simplify right side
    229,710.36x = 44,090,273,742.74
  5. Step 5: Solve for x
    x = 44,090,273,742.74/229,710.36
  6. Step 6: Final answer
    x = 191,938.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.