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Finding the Fourth Proportional to 214,776.13, 296,381.47 and 128,782.58

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Solution

The fourth proportional to 214,776.13, 296,381.47 and 128,782.58 is: 177,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,776.13 : 296,381.47 = 128,782.58 : x
  2. Step 2: Convert to fraction form
    214,776.13/296,381.47 = 128,782.58/x
  3. Step 3: Cross multiply
    214,776.13x = 296,381.47 × 128,782.58
  4. Step 4: Simplify right side
    214,776.13x = 38,168,768,244.97
  5. Step 5: Solve for x
    x = 38,168,768,244.97/214,776.13
  6. Step 6: Final answer
    x = 177,714.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.