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Finding the Fourth Proportional to 233,071.40, 349,530.56 and 73,147.02

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Solution

The fourth proportional to 233,071.40, 349,530.56 and 73,147.02 is: 109,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,071.40 : 349,530.56 = 73,147.02 : x
  2. Step 2: Convert to fraction form
    233,071.40/349,530.56 = 73,147.02/x
  3. Step 3: Cross multiply
    233,071.40x = 349,530.56 × 73,147.02
  4. Step 4: Simplify right side
    233,071.40x = 25,567,118,862.93
  5. Step 5: Solve for x
    x = 25,567,118,862.93/233,071.40
  6. Step 6: Final answer
    x = 109,696.51

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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.