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Finding the Fourth Proportional to 164,002.80, 246,061.80 and 70,537.20

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Solution

The fourth proportional to 164,002.80, 246,061.80 and 70,537.20 is: 105,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,002.80 : 246,061.80 = 70,537.20 : x
  2. Step 2: Convert to fraction form
    164,002.80/246,061.80 = 70,537.20/x
  3. Step 3: Cross multiply
    164,002.80x = 246,061.80 × 70,537.20
  4. Step 4: Simplify right side
    164,002.80x = 17,356,510,398.96
  5. Step 5: Solve for x
    x = 17,356,510,398.96/164,002.80
  6. Step 6: Final answer
    x = 105,830.57

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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.