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Finding the Fourth Proportional to 153,379.34, 230,041.30 and 53,568.07

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Solution

The fourth proportional to 153,379.34, 230,041.30 and 53,568.07 is: 80,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,379.34 : 230,041.30 = 53,568.07 : x
  2. Step 2: Convert to fraction form
    153,379.34/230,041.30 = 53,568.07/x
  3. Step 3: Cross multiply
    153,379.34x = 230,041.30 × 53,568.07
  4. Step 4: Simplify right side
    153,379.34x = 12,322,868,461.29
  5. Step 5: Solve for x
    x = 12,322,868,461.29/153,379.34
  6. Step 6: Final answer
    x = 80,342.43

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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.