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Finding the Fourth Proportional to 176,658.80, 265,101.60 and 97,829.60

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Solution

The fourth proportional to 176,658.80, 265,101.60 and 97,829.60 is: 146,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,658.80 : 265,101.60 = 97,829.60 : x
  2. Step 2: Convert to fraction form
    176,658.80/265,101.60 = 97,829.60/x
  3. Step 3: Cross multiply
    176,658.80x = 265,101.60 × 97,829.60
  4. Step 4: Simplify right side
    176,658.80x = 25,934,783,487.36
  5. Step 5: Solve for x
    x = 25,934,783,487.36/176,658.80
  6. Step 6: Final answer
    x = 146,807.20

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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.