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Finding the Fourth Proportional to 216,523.52, 324,868.47 and 152,543.16

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Solution

The fourth proportional to 216,523.52, 324,868.47 and 152,543.16 is: 228,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,523.52 : 324,868.47 = 152,543.16 : x
  2. Step 2: Convert to fraction form
    216,523.52/324,868.47 = 152,543.16/x
  3. Step 3: Cross multiply
    216,523.52x = 324,868.47 × 152,543.16
  4. Step 4: Simplify right side
    216,523.52x = 49,556,462,998.17
  5. Step 5: Solve for x
    x = 49,556,462,998.17/216,523.52
  6. Step 6: Final answer
    x = 228,873.35

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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.