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Finding the Fourth Proportional to 231,411.40, 347,117.10 and 142,376.20

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Solution

The fourth proportional to 231,411.40, 347,117.10 and 142,376.20 is: 213,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,411.40 : 347,117.10 = 142,376.20 : x
  2. Step 2: Convert to fraction form
    231,411.40/347,117.10 = 142,376.20/x
  3. Step 3: Cross multiply
    231,411.40x = 347,117.10 × 142,376.20
  4. Step 4: Simplify right side
    231,411.40x = 49,421,213,653.02
  5. Step 5: Solve for x
    x = 49,421,213,653.02/231,411.40
  6. Step 6: Final answer
    x = 213,564.30

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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.