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Finding the Fourth Proportional to 146,594.98, 219,869.70 and 56,624.77

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Solution

The fourth proportional to 146,594.98, 219,869.70 and 56,624.77 is: 84,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,594.98 : 219,869.70 = 56,624.77 : x
  2. Step 2: Convert to fraction form
    146,594.98/219,869.70 = 56,624.77/x
  3. Step 3: Cross multiply
    146,594.98x = 219,869.70 × 56,624.77
  4. Step 4: Simplify right side
    146,594.98x = 12,450,071,192.47
  5. Step 5: Solve for x
    x = 12,450,071,192.47/146,594.98
  6. Step 6: Final answer
    x = 84,928.36

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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.