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Finding the Fourth Proportional to 147,644.40, 221,466.60 and 102,543.60

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Solution

The fourth proportional to 147,644.40, 221,466.60 and 102,543.60 is: 153,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,644.40 : 221,466.60 = 102,543.60 : x
  2. Step 2: Convert to fraction form
    147,644.40/221,466.60 = 102,543.60/x
  3. Step 3: Cross multiply
    147,644.40x = 221,466.60 × 102,543.60
  4. Step 4: Simplify right side
    147,644.40x = 22,709,982,443.76
  5. Step 5: Solve for x
    x = 22,709,982,443.76/147,644.40
  6. Step 6: Final answer
    x = 153,815.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.