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Finding the Fourth Proportional to 102,533.60, 153,800.40 and 72,466.40

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Solution

The fourth proportional to 102,533.60, 153,800.40 and 72,466.40 is: 108,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,533.60 : 153,800.40 = 72,466.40 : x
  2. Step 2: Convert to fraction form
    102,533.60/153,800.40 = 72,466.40/x
  3. Step 3: Cross multiply
    102,533.60x = 153,800.40 × 72,466.40
  4. Step 4: Simplify right side
    102,533.60x = 11,145,361,306.56
  5. Step 5: Solve for x
    x = 11,145,361,306.56/102,533.60
  6. Step 6: Final answer
    x = 108,699.60

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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.