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Finding the Fourth Proportional to 164,877.30, 247,315.95 and 102,669.30

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Solution

The fourth proportional to 164,877.30, 247,315.95 and 102,669.30 is: 154,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,877.30 : 247,315.95 = 102,669.30 : x
  2. Step 2: Convert to fraction form
    164,877.30/247,315.95 = 102,669.30/x
  3. Step 3: Cross multiply
    164,877.30x = 247,315.95 × 102,669.30
  4. Step 4: Simplify right side
    164,877.30x = 25,391,755,465.34
  5. Step 5: Solve for x
    x = 25,391,755,465.34/164,877.30
  6. Step 6: Final answer
    x = 154,003.95

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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.