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Finding the Fourth Proportional to 173,686.40, 260,529.60 and 164,009.60

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Solution

The fourth proportional to 173,686.40, 260,529.60 and 164,009.60 is: 246,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,686.40 : 260,529.60 = 164,009.60 : x
  2. Step 2: Convert to fraction form
    173,686.40/260,529.60 = 164,009.60/x
  3. Step 3: Cross multiply
    173,686.40x = 260,529.60 × 164,009.60
  4. Step 4: Simplify right side
    173,686.40x = 42,729,355,484.16
  5. Step 5: Solve for x
    x = 42,729,355,484.16/173,686.40
  6. Step 6: Final answer
    x = 246,014.40

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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.