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Finding the Fourth Proportional to 153,656.42, 230,431.32 and 53,814.41

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Solution

The fourth proportional to 153,656.42, 230,431.32 and 53,814.41 is: 80,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,656.42 : 230,431.32 = 53,814.41 : x
  2. Step 2: Convert to fraction form
    153,656.42/230,431.32 = 53,814.41/x
  3. Step 3: Cross multiply
    153,656.42x = 230,431.32 × 53,814.41
  4. Step 4: Simplify right side
    153,656.42x = 12,400,525,531.32
  5. Step 5: Solve for x
    x = 12,400,525,531.32/153,656.42
  6. Step 6: Final answer
    x = 80,702.94

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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.