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Finding the Fourth Proportional to 155,698.84, 233,539.62 and 138,367

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Solution

The fourth proportional to 155,698.84, 233,539.62 and 138,367 is: 207,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,698.84 : 233,539.62 = 138,367 : x
  2. Step 2: Convert to fraction form
    155,698.84/233,539.62 = 138,367/x
  3. Step 3: Cross multiply
    155,698.84x = 233,539.62 × 138,367
  4. Step 4: Simplify right side
    155,698.84x = 32,314,176,600.54
  5. Step 5: Solve for x
    x = 32,314,176,600.54/155,698.84
  6. Step 6: Final answer
    x = 207,542.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.