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Finding the Fourth Proportional to 102,506.16, 153,765.72 and 43,334.04

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Solution

The fourth proportional to 102,506.16, 153,765.72 and 43,334.04 is: 65,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.16 : 153,765.72 = 43,334.04 : x
  2. Step 2: Convert to fraction form
    102,506.16/153,765.72 = 43,334.04/x
  3. Step 3: Cross multiply
    102,506.16x = 153,765.72 × 43,334.04
  4. Step 4: Simplify right side
    102,506.16x = 6,663,289,861.11
  5. Step 5: Solve for x
    x = 6,663,289,861.11/102,506.16
  6. Step 6: Final answer
    x = 65,003.80

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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.