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Finding the Fourth Proportional to 164,867.70, 247,301.55 and 105,770.10

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Solution

The fourth proportional to 164,867.70, 247,301.55 and 105,770.10 is: 158,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,867.70 : 247,301.55 = 105,770.10 : x
  2. Step 2: Convert to fraction form
    164,867.70/247,301.55 = 105,770.10/x
  3. Step 3: Cross multiply
    164,867.70x = 247,301.55 × 105,770.10
  4. Step 4: Simplify right side
    164,867.70x = 26,157,109,673.66
  5. Step 5: Solve for x
    x = 26,157,109,673.66/164,867.70
  6. Step 6: Final answer
    x = 158,655.15

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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.