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Finding the Fourth Proportional to 101,654.84, 140,284.01 and 56,333.57

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Solution

The fourth proportional to 101,654.84, 140,284.01 and 56,333.57 is: 77,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,654.84 : 140,284.01 = 56,333.57 : x
  2. Step 2: Convert to fraction form
    101,654.84/140,284.01 = 56,333.57/x
  3. Step 3: Cross multiply
    101,654.84x = 140,284.01 × 56,333.57
  4. Step 4: Simplify right side
    101,654.84x = 7,902,699,588.76
  5. Step 5: Solve for x
    x = 7,902,699,588.76/101,654.84
  6. Step 6: Final answer
    x = 77,740.51

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1.5x scale

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.