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Finding the Fourth Proportional to 165,956.84, 229,038.06 and 101,463.88

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Solution

The fourth proportional to 165,956.84, 229,038.06 and 101,463.88 is: 140,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,956.84 : 229,038.06 = 101,463.88 : x
  2. Step 2: Convert to fraction form
    165,956.84/229,038.06 = 101,463.88/x
  3. Step 3: Cross multiply
    165,956.84x = 229,038.06 × 101,463.88
  4. Step 4: Simplify right side
    165,956.84x = 23,239,090,235.27
  5. Step 5: Solve for x
    x = 23,239,090,235.27/165,956.84
  6. Step 6: Final answer
    x = 140,030.93

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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.