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Finding the Fourth Proportional to 102,001.10, 152,656.05 and 102,001.10

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Solution

The fourth proportional to 102,001.10, 152,656.05 and 102,001.10 is: 152,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001.10 : 152,656.05 = 102,001.10 : x
  2. Step 2: Convert to fraction form
    102,001.10/152,656.05 = 102,001.10/x
  3. Step 3: Cross multiply
    102,001.10x = 152,656.05 × 102,001.10
  4. Step 4: Simplify right side
    102,001.10x = 15,571,085,021.66
  5. Step 5: Solve for x
    x = 15,571,085,021.66/102,001.10
  6. Step 6: Final answer
    x = 152,656.05

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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.