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Finding the Fourth Proportional to 165,689.80, 248,534.70 and 152,859.40

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Solution

The fourth proportional to 165,689.80, 248,534.70 and 152,859.40 is: 229,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,689.80 : 248,534.70 = 152,859.40 : x
  2. Step 2: Convert to fraction form
    165,689.80/248,534.70 = 152,859.40/x
  3. Step 3: Cross multiply
    165,689.80x = 248,534.70 × 152,859.40
  4. Step 4: Simplify right side
    165,689.80x = 37,990,865,121.18
  5. Step 5: Solve for x
    x = 37,990,865,121.18/165,689.80
  6. Step 6: Final answer
    x = 229,289.10

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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.