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Finding the Fourth Proportional to 292,756.46, 438,835.57 and 166,129.31

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Solution

The fourth proportional to 292,756.46, 438,835.57 and 166,129.31 is: 249,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,756.46 : 438,835.57 = 166,129.31 : x
  2. Step 2: Convert to fraction form
    292,756.46/438,835.57 = 166,129.31/x
  3. Step 3: Cross multiply
    292,756.46x = 438,835.57 × 166,129.31
  4. Step 4: Simplify right side
    292,756.46x = 72,903,452,063.80
  5. Step 5: Solve for x
    x = 72,903,452,063.80/292,756.46
  6. Step 6: Final answer
    x = 249,024.23

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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.