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Finding the Fourth Proportional to 102,870.84, 141,963.66 and 58,158.84

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Solution

The fourth proportional to 102,870.84, 141,963.66 and 58,158.84 is: 80,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,870.84 : 141,963.66 = 58,158.84 : x
  2. Step 2: Convert to fraction form
    102,870.84/141,963.66 = 58,158.84/x
  3. Step 3: Cross multiply
    102,870.84x = 141,963.66 × 58,158.84
  4. Step 4: Simplify right side
    102,870.84x = 8,256,441,787.75
  5. Step 5: Solve for x
    x = 8,256,441,787.75/102,870.84
  6. Step 6: Final answer
    x = 80,260.27

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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.