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Finding the Fourth Proportional to 157,644.10, 221,254.70 and 157,644.10

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Solution

The fourth proportional to 157,644.10, 221,254.70 and 157,644.10 is: 221,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,644.10 : 221,254.70 = 157,644.10 : x
  2. Step 2: Convert to fraction form
    157,644.10/221,254.70 = 157,644.10/x
  3. Step 3: Cross multiply
    157,644.10x = 221,254.70 × 157,644.10
  4. Step 4: Simplify right side
    157,644.10x = 34,879,498,052.27
  5. Step 5: Solve for x
    x = 34,879,498,052.27/157,644.10
  6. Step 6: Final answer
    x = 221,254.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.