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Finding the Fourth Proportional to 153,036.56, 229,568.04 and 42,228.56

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Solution

The fourth proportional to 153,036.56, 229,568.04 and 42,228.56 is: 63,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,036.56 : 229,568.04 = 42,228.56 : x
  2. Step 2: Convert to fraction form
    153,036.56/229,568.04 = 42,228.56/x
  3. Step 3: Cross multiply
    153,036.56x = 229,568.04 × 42,228.56
  4. Step 4: Simplify right side
    153,036.56x = 9,694,327,751.22
  5. Step 5: Solve for x
    x = 9,694,327,751.22/153,036.56
  6. Step 6: Final answer
    x = 63,346.48

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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.