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Finding the Fourth Proportional to 174,213.54, 260,970.36 and 147,444.66

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Solution

The fourth proportional to 174,213.54, 260,970.36 and 147,444.66 is: 220,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,213.54 : 260,970.36 = 147,444.66 : x
  2. Step 2: Convert to fraction form
    174,213.54/260,970.36 = 147,444.66/x
  3. Step 3: Cross multiply
    174,213.54x = 260,970.36 × 147,444.66
  4. Step 4: Simplify right side
    174,213.54x = 38,478,686,000.28
  5. Step 5: Solve for x
    x = 38,478,686,000.28/174,213.54
  6. Step 6: Final answer
    x = 220,870.81

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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.