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Finding the Fourth Proportional to 280,830.49, 421,412.19 and 103,461.96

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Solution

The fourth proportional to 280,830.49, 421,412.19 and 103,461.96 is: 155,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,830.49 : 421,412.19 = 103,461.96 : x
  2. Step 2: Convert to fraction form
    280,830.49/421,412.19 = 103,461.96/x
  3. Step 3: Cross multiply
    280,830.49x = 421,412.19 × 103,461.96
  4. Step 4: Simplify right side
    280,830.49x = 43,600,129,038.23
  5. Step 5: Solve for x
    x = 43,600,129,038.23/280,830.49
  6. Step 6: Final answer
    x = 155,254.26

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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.