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Finding the Fourth Proportional to 357,855.76, 536,785.94 and 105,135.22

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Solution

The fourth proportional to 357,855.76, 536,785.94 and 105,135.22 is: 157,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,855.76 : 536,785.94 = 105,135.22 : x
  2. Step 2: Convert to fraction form
    357,855.76/536,785.94 = 105,135.22/x
  3. Step 3: Cross multiply
    357,855.76x = 536,785.94 × 105,135.22
  4. Step 4: Simplify right side
    357,855.76x = 56,435,107,894.81
  5. Step 5: Solve for x
    x = 56,435,107,894.81/357,855.76
  6. Step 6: Final answer
    x = 157,703.51

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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.