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Finding the Fourth Proportional to 213,041.68, 319,562.52 and 72,801.52

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Solution

The fourth proportional to 213,041.68, 319,562.52 and 72,801.52 is: 109,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,041.68 : 319,562.52 = 72,801.52 : x
  2. Step 2: Convert to fraction form
    213,041.68/319,562.52 = 72,801.52/x
  3. Step 3: Cross multiply
    213,041.68x = 319,562.52 × 72,801.52
  4. Step 4: Simplify right side
    213,041.68x = 23,264,637,191.03
  5. Step 5: Solve for x
    x = 23,264,637,191.03/213,041.68
  6. Step 6: Final answer
    x = 109,202.28

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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.