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Finding the Fourth Proportional to 191,211.84, 263,868.84 and 106,328.16

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Solution

The fourth proportional to 191,211.84, 263,868.84 and 106,328.16 is: 146,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,211.84 : 263,868.84 = 106,328.16 : x
  2. Step 2: Convert to fraction form
    191,211.84/263,868.84 = 106,328.16/x
  3. Step 3: Cross multiply
    191,211.84x = 263,868.84 × 106,328.16
  4. Step 4: Simplify right side
    191,211.84x = 28,056,688,238.53
  5. Step 5: Solve for x
    x = 28,056,688,238.53/191,211.84
  6. Step 6: Final answer
    x = 146,730.91

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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.