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Finding the Fourth Proportional to 153,782.07, 230,689.40 and 65,044.55

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Solution

The fourth proportional to 153,782.07, 230,689.40 and 65,044.55 is: 97,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,782.07 : 230,689.40 = 65,044.55 : x
  2. Step 2: Convert to fraction form
    153,782.07/230,689.40 = 65,044.55/x
  3. Step 3: Cross multiply
    153,782.07x = 230,689.40 × 65,044.55
  4. Step 4: Simplify right side
    153,782.07x = 15,005,086,734.10
  5. Step 5: Solve for x
    x = 15,005,086,734.10/153,782.07
  6. Step 6: Final answer
    x = 97,573.71

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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.