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Finding the Fourth Proportional to 175,113, 262,707.84 and 56,796.30

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Solution

The fourth proportional to 175,113, 262,707.84 and 56,796.30 is: 85,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,113 : 262,707.84 = 56,796.30 : x
  2. Step 2: Convert to fraction form
    175,113/262,707.84 = 56,796.30/x
  3. Step 3: Cross multiply
    175,113x = 262,707.84 × 56,796.30
  4. Step 4: Simplify right side
    175,113x = 14,920,833,292.99
  5. Step 5: Solve for x
    x = 14,920,833,292.99/175,113
  6. Step 6: Final answer
    x = 85,206.89

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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.