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Finding the Fourth Proportional to 196,038.34, 270,900.66 and 160,215.28

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Solution

The fourth proportional to 196,038.34, 270,900.66 and 160,215.28 is: 221,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,038.34 : 270,900.66 = 160,215.28 : x
  2. Step 2: Convert to fraction form
    196,038.34/270,900.66 = 160,215.28/x
  3. Step 3: Cross multiply
    196,038.34x = 270,900.66 × 160,215.28
  4. Step 4: Simplify right side
    196,038.34x = 43,402,425,094.08
  5. Step 5: Solve for x
    x = 43,402,425,094.08/196,038.34
  6. Step 6: Final answer
    x = 221,397.64

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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.