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Finding the Fourth Proportional to 175,307.84, 262,795.29 and 56,896.37

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Solution

The fourth proportional to 175,307.84, 262,795.29 and 56,896.37 is: 85,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,307.84 : 262,795.29 = 56,896.37 : x
  2. Step 2: Convert to fraction form
    175,307.84/262,795.29 = 56,896.37/x
  3. Step 3: Cross multiply
    175,307.84x = 262,795.29 × 56,896.37
  4. Step 4: Simplify right side
    175,307.84x = 14,952,098,054.10
  5. Step 5: Solve for x
    x = 14,952,098,054.10/175,307.84
  6. Step 6: Final answer
    x = 85,290.53

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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.