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Finding the Fourth Proportional to 216,051.50, 323,643.20 and 107,653.92

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Solution

The fourth proportional to 216,051.50, 323,643.20 and 107,653.92 is: 161,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,051.50 : 323,643.20 = 107,653.92 : x
  2. Step 2: Convert to fraction form
    216,051.50/323,643.20 = 107,653.92/x
  3. Step 3: Cross multiply
    216,051.50x = 323,643.20 × 107,653.92
  4. Step 4: Simplify right side
    216,051.50x = 34,841,459,161.34
  5. Step 5: Solve for x
    x = 34,841,459,161.34/216,051.50
  6. Step 6: Final answer
    x = 161,264.60

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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.