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Finding the Fourth Proportional to 164,117.20, 229,239.20 and 164,117.20

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Solution

The fourth proportional to 164,117.20, 229,239.20 and 164,117.20 is: 229,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,117.20 : 229,239.20 = 164,117.20 : x
  2. Step 2: Convert to fraction form
    164,117.20/229,239.20 = 164,117.20/x
  3. Step 3: Cross multiply
    164,117.20x = 229,239.20 × 164,117.20
  4. Step 4: Simplify right side
    164,117.20x = 37,622,095,634.24
  5. Step 5: Solve for x
    x = 37,622,095,634.24/164,117.20
  6. Step 6: Final answer
    x = 229,239.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.