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Finding the Fourth Proportional to 164,828.80, 247,178.92 and 56,737.72

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Solution

The fourth proportional to 164,828.80, 247,178.92 and 56,737.72 is: 85,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,828.80 : 247,178.92 = 56,737.72 : x
  2. Step 2: Convert to fraction form
    164,828.80/247,178.92 = 56,737.72/x
  3. Step 3: Cross multiply
    164,828.80x = 247,178.92 × 56,737.72
  4. Step 4: Simplify right side
    164,828.80x = 14,024,368,352.86
  5. Step 5: Solve for x
    x = 14,024,368,352.86/164,828.80
  6. Step 6: Final answer
    x = 85,084.45

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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.