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Finding the Fourth Proportional to 501,031.32, 751,671.27 and 146,048.28

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Solution

The fourth proportional to 501,031.32, 751,671.27 and 146,048.28 is: 219,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,031.32 : 751,671.27 = 146,048.28 : x
  2. Step 2: Convert to fraction form
    501,031.32/751,671.27 = 146,048.28/x
  3. Step 3: Cross multiply
    501,031.32x = 751,671.27 × 146,048.28
  4. Step 4: Simplify right side
    501,031.32x = 109,780,296,108.92
  5. Step 5: Solve for x
    x = 109,780,296,108.92/501,031.32
  6. Step 6: Final answer
    x = 219,108.65

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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.