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Finding the Fourth Proportional to 176,442.80, 264,664.20 and 97,710.80

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Solution

The fourth proportional to 176,442.80, 264,664.20 and 97,710.80 is: 146,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,442.80 : 264,664.20 = 97,710.80 : x
  2. Step 2: Convert to fraction form
    176,442.80/264,664.20 = 97,710.80/x
  3. Step 3: Cross multiply
    176,442.80x = 264,664.20 × 97,710.80
  4. Step 4: Simplify right side
    176,442.80x = 25,860,550,713.36
  5. Step 5: Solve for x
    x = 25,860,550,713.36/176,442.80
  6. Step 6: Final answer
    x = 146,566.20

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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.