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Finding the Fourth Proportional to 314,187.95, 471,354.81 and 103,813.13

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Solution

The fourth proportional to 314,187.95, 471,354.81 and 103,813.13 is: 155,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,187.95 : 471,354.81 = 103,813.13 : x
  2. Step 2: Convert to fraction form
    314,187.95/471,354.81 = 103,813.13/x
  3. Step 3: Cross multiply
    314,187.95x = 471,354.81 × 103,813.13
  4. Step 4: Simplify right side
    314,187.95x = 48,932,815,809.88
  5. Step 5: Solve for x
    x = 48,932,815,809.88/314,187.95
  6. Step 6: Final answer
    x = 155,743.77

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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.