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Finding the Fourth Proportional to 227,829.50, 314,407.35 and 125,852.85

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Solution

The fourth proportional to 227,829.50, 314,407.35 and 125,852.85 is: 173,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,829.50 : 314,407.35 = 125,852.85 : x
  2. Step 2: Convert to fraction form
    227,829.50/314,407.35 = 125,852.85/x
  3. Step 3: Cross multiply
    227,829.50x = 314,407.35 × 125,852.85
  4. Step 4: Simplify right side
    227,829.50x = 39,569,061,294.42
  5. Step 5: Solve for x
    x = 39,569,061,294.42/227,829.50
  6. Step 6: Final answer
    x = 173,678.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.