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Finding the Fourth Proportional to 208,065.60, 312,098.40 and 187,070.40

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Solution

The fourth proportional to 208,065.60, 312,098.40 and 187,070.40 is: 280,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,065.60 : 312,098.40 = 187,070.40 : x
  2. Step 2: Convert to fraction form
    208,065.60/312,098.40 = 187,070.40/x
  3. Step 3: Cross multiply
    208,065.60x = 312,098.40 × 187,070.40
  4. Step 4: Simplify right side
    208,065.60x = 58,384,372,527.36
  5. Step 5: Solve for x
    x = 58,384,372,527.36/208,065.60
  6. Step 6: Final answer
    x = 280,605.60

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1.5x scale

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.