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Finding the Fourth Proportional to 176,565.90, 264,848.85 and 97,833.90

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Solution

The fourth proportional to 176,565.90, 264,848.85 and 97,833.90 is: 146,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,565.90 : 264,848.85 = 97,833.90 : x
  2. Step 2: Convert to fraction form
    176,565.90/264,848.85 = 97,833.90/x
  3. Step 3: Cross multiply
    176,565.90x = 264,848.85 × 97,833.90
  4. Step 4: Simplify right side
    176,565.90x = 25,911,195,906.02
  5. Step 5: Solve for x
    x = 25,911,195,906.02/176,565.90
  6. Step 6: Final answer
    x = 146,750.85

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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.