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Finding the Fourth Proportional to 102,230, 141,056.16 and 59,780.32

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Solution

The fourth proportional to 102,230, 141,056.16 and 59,780.32 is: 82,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,230 : 141,056.16 = 59,780.32 : x
  2. Step 2: Convert to fraction form
    102,230/141,056.16 = 59,780.32/x
  3. Step 3: Cross multiply
    102,230x = 141,056.16 × 59,780.32
  4. Step 4: Simplify right side
    102,230x = 8,432,382,382.77
  5. Step 5: Solve for x
    x = 8,432,382,382.77/102,230
  6. Step 6: Final answer
    x = 82,484.42

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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.