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Finding the Fourth Proportional to 314,188.95, 471,356.31 and 103,814.13

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Solution

The fourth proportional to 314,188.95, 471,356.31 and 103,814.13 is: 155,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,188.95 : 471,356.31 = 103,814.13 : x
  2. Step 2: Convert to fraction form
    314,188.95/471,356.31 = 103,814.13/x
  3. Step 3: Cross multiply
    314,188.95x = 471,356.31 × 103,814.13
  4. Step 4: Simplify right side
    314,188.95x = 48,933,445,242.66
  5. Step 5: Solve for x
    x = 48,933,445,242.66/314,188.95
  6. Step 6: Final answer
    x = 155,745.28

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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.