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Finding the Fourth Proportional to 218,714.24, 328,071.33 and 52,502.24

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Solution

The fourth proportional to 218,714.24, 328,071.33 and 52,502.24 is: 78,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714.24 : 328,071.33 = 52,502.24 : x
  2. Step 2: Convert to fraction form
    218,714.24/328,071.33 = 52,502.24/x
  3. Step 3: Cross multiply
    218,714.24x = 328,071.33 × 52,502.24
  4. Step 4: Simplify right side
    218,714.24x = 17,224,478,064.42
  5. Step 5: Solve for x
    x = 17,224,478,064.42/218,714.24
  6. Step 6: Final answer
    x = 78,753.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.