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Finding the Fourth Proportional to 196,038.84, 270,901.35 and 160,215.78

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Solution

The fourth proportional to 196,038.84, 270,901.35 and 160,215.78 is: 221,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,038.84 : 270,901.35 = 160,215.78 : x
  2. Step 2: Convert to fraction form
    196,038.84/270,901.35 = 160,215.78/x
  3. Step 3: Cross multiply
    196,038.84x = 270,901.35 × 160,215.78
  4. Step 4: Simplify right side
    196,038.84x = 43,402,671,093.30
  5. Step 5: Solve for x
    x = 43,402,671,093.30/196,038.84
  6. Step 6: Final answer
    x = 221,398.33

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