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Finding the Fourth Proportional to 189,192.96, 283,788.90 and 62,842.95

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Solution

The fourth proportional to 189,192.96, 283,788.90 and 62,842.95 is: 94,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,192.96 : 283,788.90 = 62,842.95 : x
  2. Step 2: Convert to fraction form
    189,192.96/283,788.90 = 62,842.95/x
  3. Step 3: Cross multiply
    189,192.96x = 283,788.90 × 62,842.95
  4. Step 4: Simplify right side
    189,192.96x = 17,834,131,653.26
  5. Step 5: Solve for x
    x = 17,834,131,653.26/189,192.96
  6. Step 6: Final answer
    x = 94,264.25

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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.