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Finding the Fourth Proportional to 166,585.92, 249,852.96 and 55,752

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Solution

The fourth proportional to 166,585.92, 249,852.96 and 55,752 is: 83,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,585.92 : 249,852.96 = 55,752 : x
  2. Step 2: Convert to fraction form
    166,585.92/249,852.96 = 55,752/x
  3. Step 3: Cross multiply
    166,585.92x = 249,852.96 × 55,752
  4. Step 4: Simplify right side
    166,585.92x = 13,929,802,225.92
  5. Step 5: Solve for x
    x = 13,929,802,225.92/166,585.92
  6. Step 6: Final answer
    x = 83,619.33

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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.