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Finding the Fourth Proportional to 153,442.72, 230,071.92 and 59,992.48

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Solution

The fourth proportional to 153,442.72, 230,071.92 and 59,992.48 is: 89,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,442.72 : 230,071.92 = 59,992.48 : x
  2. Step 2: Convert to fraction form
    153,442.72/230,071.92 = 59,992.48/x
  3. Step 3: Cross multiply
    153,442.72x = 230,071.92 × 59,992.48
  4. Step 4: Simplify right side
    153,442.72x = 13,802,585,059.16
  5. Step 5: Solve for x
    x = 13,802,585,059.16/153,442.72
  6. Step 6: Final answer
    x = 89,952.69

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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.