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Finding the Fourth Proportional to 133,248, 199,873.92 and 34,752

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Solution

The fourth proportional to 133,248, 199,873.92 and 34,752 is: 52,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,248 : 199,873.92 = 34,752 : x
  2. Step 2: Convert to fraction form
    133,248/199,873.92 = 34,752/x
  3. Step 3: Cross multiply
    133,248x = 199,873.92 × 34,752
  4. Step 4: Simplify right side
    133,248x = 6,946,018,467.84
  5. Step 5: Solve for x
    x = 6,946,018,467.84/133,248
  6. Step 6: Final answer
    x = 52,128.50

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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.