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Finding the Fourth Proportional to 223,710.30, 308,365.92 and 165,465.23

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Solution

The fourth proportional to 223,710.30, 308,365.92 and 165,465.23 is: 228,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,710.30 : 308,365.92 = 165,465.23 : x
  2. Step 2: Convert to fraction form
    223,710.30/308,365.92 = 165,465.23/x
  3. Step 3: Cross multiply
    223,710.30x = 308,365.92 × 165,465.23
  4. Step 4: Simplify right side
    223,710.30x = 51,023,836,335.13
  5. Step 5: Solve for x
    x = 51,023,836,335.13/223,710.30
  6. Step 6: Final answer
    x = 228,079.96

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1.5x scale

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.