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Finding the Fourth Proportional to 129,601.64, 178,858.50 and 97,714.28

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Solution

The fourth proportional to 129,601.64, 178,858.50 and 97,714.28 is: 134,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,601.64 : 178,858.50 = 97,714.28 : x
  2. Step 2: Convert to fraction form
    129,601.64/178,858.50 = 97,714.28/x
  3. Step 3: Cross multiply
    129,601.64x = 178,858.50 × 97,714.28
  4. Step 4: Simplify right side
    129,601.64x = 17,477,029,549.38
  5. Step 5: Solve for x
    x = 17,477,029,549.38/129,601.64
  6. Step 6: Final answer
    x = 134,851.92

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Why These Related Problems?

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