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Finding the Fourth Proportional to 101,400.10, 152,100.15 and 85,848.10

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Solution

The fourth proportional to 101,400.10, 152,100.15 and 85,848.10 is: 128,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,400.10 : 152,100.15 = 85,848.10 : x
  2. Step 2: Convert to fraction form
    101,400.10/152,100.15 = 85,848.10/x
  3. Step 3: Cross multiply
    101,400.10x = 152,100.15 × 85,848.10
  4. Step 4: Simplify right side
    101,400.10x = 13,057,508,887.22
  5. Step 5: Solve for x
    x = 13,057,508,887.22/101,400.10
  6. Step 6: Final answer
    x = 128,772.15

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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.