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Finding the Fourth Proportional to 280,903.69, 421,397.55 and 103,397.18

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Solution

The fourth proportional to 280,903.69, 421,397.55 and 103,397.18 is: 155,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,903.69 : 421,397.55 = 103,397.18 : x
  2. Step 2: Convert to fraction form
    280,903.69/421,397.55 = 103,397.18/x
  3. Step 3: Cross multiply
    280,903.69x = 421,397.55 × 103,397.18
  4. Step 4: Simplify right side
    280,903.69x = 43,571,318,328.91
  5. Step 5: Solve for x
    x = 43,571,318,328.91/280,903.69
  6. Step 6: Final answer
    x = 155,111.24

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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.