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Finding the Fourth Proportional to 113,978.60, 170,967.90 and 102,703.40

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Solution

The fourth proportional to 113,978.60, 170,967.90 and 102,703.40 is: 154,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,978.60 : 170,967.90 = 102,703.40 : x
  2. Step 2: Convert to fraction form
    113,978.60/170,967.90 = 102,703.40/x
  3. Step 3: Cross multiply
    113,978.60x = 170,967.90 × 102,703.40
  4. Step 4: Simplify right side
    113,978.60x = 17,558,984,620.86
  5. Step 5: Solve for x
    x = 17,558,984,620.86/113,978.60
  6. Step 6: Final answer
    x = 154,055.10

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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.