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Finding the Fourth Proportional to 102,497.33, 141,402.72 and 64,230.84

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Solution

The fourth proportional to 102,497.33, 141,402.72 and 64,230.84 is: 88,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,497.33 : 141,402.72 = 64,230.84 : x
  2. Step 2: Convert to fraction form
    102,497.33/141,402.72 = 64,230.84/x
  3. Step 3: Cross multiply
    102,497.33x = 141,402.72 × 64,230.84
  4. Step 4: Simplify right side
    102,497.33x = 9,082,415,724.75
  5. Step 5: Solve for x
    x = 9,082,415,724.75/102,497.33
  6. Step 6: Final answer
    x = 88,611.24

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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.