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Finding the Fourth Proportional to 153,018.60, 229,294.01 and 102,913.22

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Solution

The fourth proportional to 153,018.60, 229,294.01 and 102,913.22 is: 154,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,018.60 : 229,294.01 = 102,913.22 : x
  2. Step 2: Convert to fraction form
    153,018.60/229,294.01 = 102,913.22/x
  3. Step 3: Cross multiply
    153,018.60x = 229,294.01 × 102,913.22
  4. Step 4: Simplify right side
    153,018.60x = 23,597,383,234.78
  5. Step 5: Solve for x
    x = 23,597,383,234.78/153,018.60
  6. Step 6: Final answer
    x = 154,212.52

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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.