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Finding the Fourth Proportional to 164,953.60, 247,430.40 and 82,009.60

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Solution

The fourth proportional to 164,953.60, 247,430.40 and 82,009.60 is: 123,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,953.60 : 247,430.40 = 82,009.60 : x
  2. Step 2: Convert to fraction form
    164,953.60/247,430.40 = 82,009.60/x
  3. Step 3: Cross multiply
    164,953.60x = 247,430.40 × 82,009.60
  4. Step 4: Simplify right side
    164,953.60x = 20,291,668,131.84
  5. Step 5: Solve for x
    x = 20,291,668,131.84/164,953.60
  6. Step 6: Final answer
    x = 123,014.40

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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.