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Finding the Fourth Proportional to 253,798.58, 380,702.22 and 96,101.30

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Solution

The fourth proportional to 253,798.58, 380,702.22 and 96,101.30 is: 144,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,798.58 : 380,702.22 = 96,101.30 : x
  2. Step 2: Convert to fraction form
    253,798.58/380,702.22 = 96,101.30/x
  3. Step 3: Cross multiply
    253,798.58x = 380,702.22 × 96,101.30
  4. Step 4: Simplify right side
    253,798.58x = 36,585,978,254.89
  5. Step 5: Solve for x
    x = 36,585,978,254.89/253,798.58
  6. Step 6: Final answer
    x = 144,153.60

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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.