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Finding the Fourth Proportional to 216,862.56, 325,666.08 and 133,114.50

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Solution

The fourth proportional to 216,862.56, 325,666.08 and 133,114.50 is: 199,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,862.56 : 325,666.08 = 133,114.50 : x
  2. Step 2: Convert to fraction form
    216,862.56/325,666.08 = 133,114.50/x
  3. Step 3: Cross multiply
    216,862.56x = 325,666.08 × 133,114.50
  4. Step 4: Simplify right side
    216,862.56x = 43,350,877,406.16
  5. Step 5: Solve for x
    x = 43,350,877,406.16/216,862.56
  6. Step 6: Final answer
    x = 199,900.24

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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.