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Finding the Fourth Proportional to 147,053.16, 220,678.56 and 146,512.08

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Solution

The fourth proportional to 147,053.16, 220,678.56 and 146,512.08 is: 219,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,053.16 : 220,678.56 = 146,512.08 : x
  2. Step 2: Convert to fraction form
    147,053.16/220,678.56 = 146,512.08/x
  3. Step 3: Cross multiply
    147,053.16x = 220,678.56 × 146,512.08
  4. Step 4: Simplify right side
    147,053.16x = 32,332,074,837.00
  5. Step 5: Solve for x
    x = 32,332,074,837.00/147,053.16
  6. Step 6: Final answer
    x = 219,866.58

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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.