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Finding the Fourth Proportional to 264,070.06, 396,184.04 and 187,281.00

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Solution

The fourth proportional to 264,070.06, 396,184.04 and 187,281.00 is: 280,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,070.06 : 396,184.04 = 187,281.00 : x
  2. Step 2: Convert to fraction form
    264,070.06/396,184.04 = 187,281.00/x
  3. Step 3: Cross multiply
    264,070.06x = 396,184.04 × 187,281.00
  4. Step 4: Simplify right side
    264,070.06x = 74,197,740,277.91
  5. Step 5: Solve for x
    x = 74,197,740,277.91/264,070.06
  6. Step 6: Final answer
    x = 280,977.48

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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.