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Finding the Fourth Proportional to 165,758.81, 248,812.14 and 146,904.08

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Solution

The fourth proportional to 165,758.81, 248,812.14 and 146,904.08 is: 220,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,758.81 : 248,812.14 = 146,904.08 : x
  2. Step 2: Convert to fraction form
    165,758.81/248,812.14 = 146,904.08/x
  3. Step 3: Cross multiply
    165,758.81x = 248,812.14 × 146,904.08
  4. Step 4: Simplify right side
    165,758.81x = 36,551,517,275.47
  5. Step 5: Solve for x
    x = 36,551,517,275.47/165,758.81
  6. Step 6: Final answer
    x = 220,510.26

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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.