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Finding the Fourth Proportional to 130,410.63, 195,018.17 and 97,153.83

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Solution

The fourth proportional to 130,410.63, 195,018.17 and 97,153.83 is: 145,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,410.63 : 195,018.17 = 97,153.83 : x
  2. Step 2: Convert to fraction form
    130,410.63/195,018.17 = 97,153.83/x
  3. Step 3: Cross multiply
    130,410.63x = 195,018.17 × 97,153.83
  4. Step 4: Simplify right side
    130,410.63x = 18,946,761,649.32
  5. Step 5: Solve for x
    x = 18,946,761,649.32/130,410.63
  6. Step 6: Final answer
    x = 145,285.41

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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.