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Finding the Fourth Proportional to 176,851.20, 265,276.80 and 102,201.60

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Solution

The fourth proportional to 176,851.20, 265,276.80 and 102,201.60 is: 153,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,851.20 : 265,276.80 = 102,201.60 : x
  2. Step 2: Convert to fraction form
    176,851.20/265,276.80 = 102,201.60/x
  3. Step 3: Cross multiply
    176,851.20x = 265,276.80 × 102,201.60
  4. Step 4: Simplify right side
    176,851.20x = 27,111,713,402.88
  5. Step 5: Solve for x
    x = 27,111,713,402.88/176,851.20
  6. Step 6: Final answer
    x = 153,302.40

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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.