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Finding the Fourth Proportional to 292,404.60, 438,752.70 and 166,141.80

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Solution

The fourth proportional to 292,404.60, 438,752.70 and 166,141.80 is: 249,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,404.60 : 438,752.70 = 166,141.80 : x
  2. Step 2: Convert to fraction form
    292,404.60/438,752.70 = 166,141.80/x
  3. Step 3: Cross multiply
    292,404.60x = 438,752.70 × 166,141.80
  4. Step 4: Simplify right side
    292,404.60x = 72,895,163,332.86
  5. Step 5: Solve for x
    x = 72,895,163,332.86/292,404.60
  6. Step 6: Final answer
    x = 249,295.54

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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.