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Finding the Fourth Proportional to 227,565.87, 314,038.01 and 130,768.56

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Solution

The fourth proportional to 227,565.87, 314,038.01 and 130,768.56 is: 180,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,565.87 : 314,038.01 = 130,768.56 : x
  2. Step 2: Convert to fraction form
    227,565.87/314,038.01 = 130,768.56/x
  3. Step 3: Cross multiply
    227,565.87x = 314,038.01 × 130,768.56
  4. Step 4: Simplify right side
    227,565.87x = 41,066,298,352.97
  5. Step 5: Solve for x
    x = 41,066,298,352.97/227,565.87
  6. Step 6: Final answer
    x = 180,458.95

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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.