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Finding the Fourth Proportional to 235,031.56, 352,472.46 and 77,223.40

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Solution

The fourth proportional to 235,031.56, 352,472.46 and 77,223.40 is: 115,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,031.56 : 352,472.46 = 77,223.40 : x
  2. Step 2: Convert to fraction form
    235,031.56/352,472.46 = 77,223.40/x
  3. Step 3: Cross multiply
    235,031.56x = 352,472.46 × 77,223.40
  4. Step 4: Simplify right side
    235,031.56x = 27,219,121,767.56
  5. Step 5: Solve for x
    x = 27,219,121,767.56/235,031.56
  6. Step 6: Final answer
    x = 115,810.50

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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.