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Finding the Fourth Proportional to 208,294.76, 312,309.70 and 176,715.70

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Solution

The fourth proportional to 208,294.76, 312,309.70 and 176,715.70 is: 264,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.76 : 312,309.70 = 176,715.70 : x
  2. Step 2: Convert to fraction form
    208,294.76/312,309.70 = 176,715.70/x
  3. Step 3: Cross multiply
    208,294.76x = 312,309.70 × 176,715.70
  4. Step 4: Simplify right side
    208,294.76x = 55,190,027,252.29
  5. Step 5: Solve for x
    x = 55,190,027,252.29/208,294.76
  6. Step 6: Final answer
    x = 264,961.19

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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.