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Finding the Fourth Proportional to 262,117.92, 361,720.80 and 154,688.16

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Solution

The fourth proportional to 262,117.92, 361,720.80 and 154,688.16 is: 213,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,117.92 : 361,720.80 = 154,688.16 : x
  2. Step 2: Convert to fraction form
    262,117.92/361,720.80 = 154,688.16/x
  3. Step 3: Cross multiply
    262,117.92x = 361,720.80 × 154,688.16
  4. Step 4: Simplify right side
    262,117.92x = 55,953,924,985.73
  5. Step 5: Solve for x
    x = 55,953,924,985.73/262,117.92
  6. Step 6: Final answer
    x = 213,468.52

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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.