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Finding the Fourth Proportional to 153,272, 229,907.76 and 48,099.04

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Solution

The fourth proportional to 153,272, 229,907.76 and 48,099.04 is: 72,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,272 : 229,907.76 = 48,099.04 : x
  2. Step 2: Convert to fraction form
    153,272/229,907.76 = 48,099.04/x
  3. Step 3: Cross multiply
    153,272x = 229,907.76 × 48,099.04
  4. Step 4: Simplify right side
    153,272x = 11,058,342,544.55
  5. Step 5: Solve for x
    x = 11,058,342,544.55/153,272
  6. Step 6: Final answer
    x = 72,148.48

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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.