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Finding the Fourth Proportional to 129,656.30, 194,484.45 and 31,160.30

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Solution

The fourth proportional to 129,656.30, 194,484.45 and 31,160.30 is: 46,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,656.30 : 194,484.45 = 31,160.30 : x
  2. Step 2: Convert to fraction form
    129,656.30/194,484.45 = 31,160.30/x
  3. Step 3: Cross multiply
    129,656.30x = 194,484.45 × 31,160.30
  4. Step 4: Simplify right side
    129,656.30x = 6,060,193,807.34
  5. Step 5: Solve for x
    x = 6,060,193,807.34/129,656.30
  6. Step 6: Final answer
    x = 46,740.45

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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.