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Finding the Fourth Proportional to 165,803.34, 248,746.02 and 53,495.42

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Solution

The fourth proportional to 165,803.34, 248,746.02 and 53,495.42 is: 80,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,803.34 : 248,746.02 = 53,495.42 : x
  2. Step 2: Convert to fraction form
    165,803.34/248,746.02 = 53,495.42/x
  3. Step 3: Cross multiply
    165,803.34x = 248,746.02 × 53,495.42
  4. Step 4: Simplify right side
    165,803.34x = 13,306,772,545.75
  5. Step 5: Solve for x
    x = 13,306,772,545.75/165,803.34
  6. Step 6: Final answer
    x = 80,256.36

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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.