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Finding the Fourth Proportional to 208,853.64, 288,219 and 113,360.34

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Solution

The fourth proportional to 208,853.64, 288,219 and 113,360.34 is: 156,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,853.64 : 288,219 = 113,360.34 : x
  2. Step 2: Convert to fraction form
    208,853.64/288,219 = 113,360.34/x
  3. Step 3: Cross multiply
    208,853.64x = 288,219 × 113,360.34
  4. Step 4: Simplify right side
    208,853.64x = 32,672,603,834.46
  5. Step 5: Solve for x
    x = 32,672,603,834.46/208,853.64
  6. Step 6: Final answer
    x = 156,437.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.