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Finding the Fourth Proportional to 280,931.15, 421,199.87 and 103,415.13

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Solution

The fourth proportional to 280,931.15, 421,199.87 and 103,415.13 is: 155,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,931.15 : 421,199.87 = 103,415.13 : x
  2. Step 2: Convert to fraction form
    280,931.15/421,199.87 = 103,415.13/x
  3. Step 3: Cross multiply
    280,931.15x = 421,199.87 × 103,415.13
  4. Step 4: Simplify right side
    280,931.15x = 43,558,438,794.96
  5. Step 5: Solve for x
    x = 43,558,438,794.96/280,931.15
  6. Step 6: Final answer
    x = 155,050.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.