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Finding the Fourth Proportional to 229,985.80, 344,978.70 and 167,777.80

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Solution

The fourth proportional to 229,985.80, 344,978.70 and 167,777.80 is: 251,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,985.80 : 344,978.70 = 167,777.80 : x
  2. Step 2: Convert to fraction form
    229,985.80/344,978.70 = 167,777.80/x
  3. Step 3: Cross multiply
    229,985.80x = 344,978.70 × 167,777.80
  4. Step 4: Simplify right side
    229,985.80x = 57,879,767,332.86
  5. Step 5: Solve for x
    x = 57,879,767,332.86/229,985.80
  6. Step 6: Final answer
    x = 251,666.70

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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.