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Finding the Fourth Proportional to 176,470.40, 264,705.60 and 164,806.40

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Solution

The fourth proportional to 176,470.40, 264,705.60 and 164,806.40 is: 247,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,470.40 : 264,705.60 = 164,806.40 : x
  2. Step 2: Convert to fraction form
    176,470.40/264,705.60 = 164,806.40/x
  3. Step 3: Cross multiply
    176,470.40x = 264,705.60 × 164,806.40
  4. Step 4: Simplify right side
    176,470.40x = 43,625,176,995.84
  5. Step 5: Solve for x
    x = 43,625,176,995.84/176,470.40
  6. Step 6: Final answer
    x = 247,209.60

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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.