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Finding the Fourth Proportional to 176,805.60, 265,208.40 and 71,570.40

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Solution

The fourth proportional to 176,805.60, 265,208.40 and 71,570.40 is: 107,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,805.60 : 265,208.40 = 71,570.40 : x
  2. Step 2: Convert to fraction form
    176,805.60/265,208.40 = 71,570.40/x
  3. Step 3: Cross multiply
    176,805.60x = 265,208.40 × 71,570.40
  4. Step 4: Simplify right side
    176,805.60x = 18,981,071,271.36
  5. Step 5: Solve for x
    x = 18,981,071,271.36/176,805.60
  6. Step 6: Final answer
    x = 107,355.60

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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.