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Finding the Fourth Proportional to 257,332.32, 355,222.80 and 166,766.02

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Solution

The fourth proportional to 257,332.32, 355,222.80 and 166,766.02 is: 230,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,332.32 : 355,222.80 = 166,766.02 : x
  2. Step 2: Convert to fraction form
    257,332.32/355,222.80 = 166,766.02/x
  3. Step 3: Cross multiply
    257,332.32x = 355,222.80 × 166,766.02
  4. Step 4: Simplify right side
    257,332.32x = 59,239,092,569.26
  5. Step 5: Solve for x
    x = 59,239,092,569.26/257,332.32
  6. Step 6: Final answer
    x = 230,204.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.