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Finding the Fourth Proportional to 153,064.32, 229,596.16 and 42,256

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Solution

The fourth proportional to 153,064.32, 229,596.16 and 42,256 is: 63,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,064.32 : 229,596.16 = 42,256 : x
  2. Step 2: Convert to fraction form
    153,064.32/229,596.16 = 42,256/x
  3. Step 3: Cross multiply
    153,064.32x = 229,596.16 × 42,256
  4. Step 4: Simplify right side
    153,064.32x = 9,701,815,336.96
  5. Step 5: Solve for x
    x = 9,701,815,336.96/153,064.32
  6. Step 6: Final answer
    x = 63,383.91

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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.