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Finding the Fourth Proportional to 265,002.32, 365,621.40 and 161,658.36

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Solution

The fourth proportional to 265,002.32, 365,621.40 and 161,658.36 is: 223,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,002.32 : 365,621.40 = 161,658.36 : x
  2. Step 2: Convert to fraction form
    265,002.32/365,621.40 = 161,658.36/x
  3. Step 3: Cross multiply
    265,002.32x = 365,621.40 × 161,658.36
  4. Step 4: Simplify right side
    265,002.32x = 59,105,755,904.90
  5. Step 5: Solve for x
    x = 59,105,755,904.90/265,002.32
  6. Step 6: Final answer
    x = 223,038.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.