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Finding the Fourth Proportional to 164,658.94, 246,820.14 and 93,431.10

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Solution

The fourth proportional to 164,658.94, 246,820.14 and 93,431.10 is: 140,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,658.94 : 246,820.14 = 93,431.10 : x
  2. Step 2: Convert to fraction form
    164,658.94/246,820.14 = 93,431.10/x
  3. Step 3: Cross multiply
    164,658.94x = 246,820.14 × 93,431.10
  4. Step 4: Simplify right side
    164,658.94x = 23,060,675,948.25
  5. Step 5: Solve for x
    x = 23,060,675,948.25/164,658.94
  6. Step 6: Final answer
    x = 140,051.17

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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.