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Finding the Fourth Proportional to 174,814.86, 262,023.84 and 153,714.06

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Solution

The fourth proportional to 174,814.86, 262,023.84 and 153,714.06 is: 230,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,814.86 : 262,023.84 = 153,714.06 : x
  2. Step 2: Convert to fraction form
    174,814.86/262,023.84 = 153,714.06/x
  3. Step 3: Cross multiply
    174,814.86x = 262,023.84 × 153,714.06
  4. Step 4: Simplify right side
    174,814.86x = 40,276,748,263.19
  5. Step 5: Solve for x
    x = 40,276,748,263.19/174,814.86
  6. Step 6: Final answer
    x = 230,396.59

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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.