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Finding the Fourth Proportional to 102,203.52, 153,253.44 and 46,752

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Solution

The fourth proportional to 102,203.52, 153,253.44 and 46,752 is: 70,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,203.52 : 153,253.44 = 46,752 : x
  2. Step 2: Convert to fraction form
    102,203.52/153,253.44 = 46,752/x
  3. Step 3: Cross multiply
    102,203.52x = 153,253.44 × 46,752
  4. Step 4: Simplify right side
    102,203.52x = 7,164,904,826.88
  5. Step 5: Solve for x
    x = 7,164,904,826.88/102,203.52
  6. Step 6: Final answer
    x = 70,104.29

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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.