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Finding the Fourth Proportional to 430,124, 645,144.30 and 130,607.21

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Solution

The fourth proportional to 430,124, 645,144.30 and 130,607.21 is: 195,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,124 : 645,144.30 = 130,607.21 : x
  2. Step 2: Convert to fraction form
    430,124/645,144.30 = 130,607.21/x
  3. Step 3: Cross multiply
    430,124x = 645,144.30 × 130,607.21
  4. Step 4: Simplify right side
    430,124x = 84,260,497,070.40
  5. Step 5: Solve for x
    x = 84,260,497,070.40/430,124
  6. Step 6: Final answer
    x = 195,898.15

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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.