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Finding the Fourth Proportional to 242,714.16, 363,590.66 and 114,454.84

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Solution

The fourth proportional to 242,714.16, 363,590.66 and 114,454.84 is: 171,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,714.16 : 363,590.66 = 114,454.84 : x
  2. Step 2: Convert to fraction form
    242,714.16/363,590.66 = 114,454.84/x
  3. Step 3: Cross multiply
    242,714.16x = 363,590.66 × 114,454.84
  4. Step 4: Simplify right side
    242,714.16x = 41,614,710,815.79
  5. Step 5: Solve for x
    x = 41,614,710,815.79/242,714.16
  6. Step 6: Final answer
    x = 171,455.64

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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.