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Finding the Fourth Proportional to 102,607.80, 153,911.70 and 100,420.80

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Solution

The fourth proportional to 102,607.80, 153,911.70 and 100,420.80 is: 150,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,607.80 : 153,911.70 = 100,420.80 : x
  2. Step 2: Convert to fraction form
    102,607.80/153,911.70 = 100,420.80/x
  3. Step 3: Cross multiply
    102,607.80x = 153,911.70 × 100,420.80
  4. Step 4: Simplify right side
    102,607.80x = 15,455,936,043.36
  5. Step 5: Solve for x
    x = 15,455,936,043.36/102,607.80
  6. Step 6: Final answer
    x = 150,631.20

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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.