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Finding the Fourth Proportional to 102,272.64, 153,279.72 and 46,052.88

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Solution

The fourth proportional to 102,272.64, 153,279.72 and 46,052.88 is: 69,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,272.64 : 153,279.72 = 46,052.88 : x
  2. Step 2: Convert to fraction form
    102,272.64/153,279.72 = 46,052.88/x
  3. Step 3: Cross multiply
    102,272.64x = 153,279.72 × 46,052.88
  4. Step 4: Simplify right side
    102,272.64x = 7,058,972,551.59
  5. Step 5: Solve for x
    x = 7,058,972,551.59/102,272.64
  6. Step 6: Final answer
    x = 69,021.12

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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.