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Finding the Fourth Proportional to 153,764.25, 230,685.26 and 42,956.25

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Solution

The fourth proportional to 153,764.25, 230,685.26 and 42,956.25 is: 64,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,764.25 : 230,685.26 = 42,956.25 : x
  2. Step 2: Convert to fraction form
    153,764.25/230,685.26 = 42,956.25/x
  3. Step 3: Cross multiply
    153,764.25x = 230,685.26 × 42,956.25
  4. Step 4: Simplify right side
    153,764.25x = 9,909,373,485.09
  5. Step 5: Solve for x
    x = 9,909,373,485.09/153,764.25
  6. Step 6: Final answer
    x = 64,445.24

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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.