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Finding the Fourth Proportional to 221,788.47, 306,068.38 and 119,813.93

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Solution

The fourth proportional to 221,788.47, 306,068.38 and 119,813.93 is: 165,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,788.47 : 306,068.38 = 119,813.93 : x
  2. Step 2: Convert to fraction form
    221,788.47/306,068.38 = 119,813.93/x
  3. Step 3: Cross multiply
    221,788.47x = 306,068.38 × 119,813.93
  4. Step 4: Simplify right side
    221,788.47x = 36,671,254,774.41
  5. Step 5: Solve for x
    x = 36,671,254,774.41/221,788.47
  6. Step 6: Final answer
    x = 165,343.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.