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Finding the Fourth Proportional to 208,848.26, 288,210.88 and 113,354.92

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Solution

The fourth proportional to 208,848.26, 288,210.88 and 113,354.92 is: 156,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,848.26 : 288,210.88 = 113,354.92 : x
  2. Step 2: Convert to fraction form
    208,848.26/288,210.88 = 113,354.92/x
  3. Step 3: Cross multiply
    208,848.26x = 288,210.88 × 113,354.92
  4. Step 4: Simplify right side
    208,848.26x = 32,670,121,245.53
  5. Step 5: Solve for x
    x = 32,670,121,245.53/208,848.26
  6. Step 6: Final answer
    x = 156,429.94

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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.