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Finding the Fourth Proportional to 102,505.16, 153,764.22 and 43,333.04

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Solution

The fourth proportional to 102,505.16, 153,764.22 and 43,333.04 is: 65,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.16 : 153,764.22 = 43,333.04 : x
  2. Step 2: Convert to fraction form
    102,505.16/153,764.22 = 43,333.04/x
  3. Step 3: Cross multiply
    102,505.16x = 153,764.22 × 43,333.04
  4. Step 4: Simplify right side
    102,505.16x = 6,663,071,095.83
  5. Step 5: Solve for x
    x = 6,663,071,095.83/102,505.16
  6. Step 6: Final answer
    x = 65,002.30

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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.