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Finding the Fourth Proportional to 164,893.76, 247,292 and 70,123.76

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Solution

The fourth proportional to 164,893.76, 247,292 and 70,123.76 is: 105,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,893.76 : 247,292 = 70,123.76 : x
  2. Step 2: Convert to fraction form
    164,893.76/247,292 = 70,123.76/x
  3. Step 3: Cross multiply
    164,893.76x = 247,292 × 70,123.76
  4. Step 4: Simplify right side
    164,893.76x = 17,341,044,857.92
  5. Step 5: Solve for x
    x = 17,341,044,857.92/164,893.76
  6. Step 6: Final answer
    x = 105,164.96

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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.