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Finding the Fourth Proportional to 177,312.80, 265,969.20 and 142,320.80

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Solution

The fourth proportional to 177,312.80, 265,969.20 and 142,320.80 is: 213,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,312.80 : 265,969.20 = 142,320.80 : x
  2. Step 2: Convert to fraction form
    177,312.80/265,969.20 = 142,320.80/x
  3. Step 3: Cross multiply
    177,312.80x = 265,969.20 × 142,320.80
  4. Step 4: Simplify right side
    177,312.80x = 37,852,949,319.36
  5. Step 5: Solve for x
    x = 37,852,949,319.36/177,312.80
  6. Step 6: Final answer
    x = 213,481.20

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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.