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Finding the Fourth Proportional to 153,652.53, 211,965.10 and 102,677.77

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Solution

The fourth proportional to 153,652.53, 211,965.10 and 102,677.77 is: 141,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,652.53 : 211,965.10 = 102,677.77 : x
  2. Step 2: Convert to fraction form
    153,652.53/211,965.10 = 102,677.77/x
  3. Step 3: Cross multiply
    153,652.53x = 211,965.10 × 102,677.77
  4. Step 4: Simplify right side
    153,652.53x = 21,764,103,785.83
  5. Step 5: Solve for x
    x = 21,764,103,785.83/153,652.53
  6. Step 6: Final answer
    x = 141,644.94

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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.