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Finding the Fourth Proportional to 280,040.10, 420,011.55 and 102,455.70

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Solution

The fourth proportional to 280,040.10, 420,011.55 and 102,455.70 is: 153,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,040.10 : 420,011.55 = 102,455.70 : x
  2. Step 2: Convert to fraction form
    280,040.10/420,011.55 = 102,455.70/x
  3. Step 3: Cross multiply
    280,040.10x = 420,011.55 × 102,455.70
  4. Step 4: Simplify right side
    280,040.10x = 43,032,577,363.34
  5. Step 5: Solve for x
    x = 43,032,577,363.34/280,040.10
  6. Step 6: Final answer
    x = 153,665.77

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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.