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Finding the Fourth Proportional to 208,714.14, 288,025.60 and 118,068.20

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Solution

The fourth proportional to 208,714.14, 288,025.60 and 118,068.20 is: 162,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,714.14 : 288,025.60 = 118,068.20 : x
  2. Step 2: Convert to fraction form
    208,714.14/288,025.60 = 118,068.20/x
  3. Step 3: Cross multiply
    208,714.14x = 288,025.60 × 118,068.20
  4. Step 4: Simplify right side
    208,714.14x = 34,006,664,145.92
  5. Step 5: Solve for x
    x = 34,006,664,145.92/208,714.14
  6. Step 6: Final answer
    x = 162,934.17

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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.