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Finding the Fourth Proportional to 357,937.94, 536,907.04 and 105,218.43

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Solution

The fourth proportional to 357,937.94, 536,907.04 and 105,218.43 is: 157,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,937.94 : 536,907.04 = 105,218.43 : x
  2. Step 2: Convert to fraction form
    357,937.94/536,907.04 = 105,218.43/x
  3. Step 3: Cross multiply
    357,937.94x = 536,907.04 × 105,218.43
  4. Step 4: Simplify right side
    357,937.94x = 56,492,515,804.75
  5. Step 5: Solve for x
    x = 56,492,515,804.75/357,937.94
  6. Step 6: Final answer
    x = 157,827.68

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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.