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Finding the Fourth Proportional to 129,215.32, 178,308.36 and 78,256.35

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Solution

The fourth proportional to 129,215.32, 178,308.36 and 78,256.35 is: 107,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215.32 : 178,308.36 = 78,256.35 : x
  2. Step 2: Convert to fraction form
    129,215.32/178,308.36 = 78,256.35/x
  3. Step 3: Cross multiply
    129,215.32x = 178,308.36 × 78,256.35
  4. Step 4: Simplify right side
    129,215.32x = 13,953,761,428.09
  5. Step 5: Solve for x
    x = 13,953,761,428.09/129,215.32
  6. Step 6: Final answer
    x = 107,988.45

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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.