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Finding the Fourth Proportional to 191,588.94, 264,400.91 and 106,706.01

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Solution

The fourth proportional to 191,588.94, 264,400.91 and 106,706.01 is: 147,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,588.94 : 264,400.91 = 106,706.01 : x
  2. Step 2: Convert to fraction form
    191,588.94/264,400.91 = 106,706.01/x
  3. Step 3: Cross multiply
    191,588.94x = 264,400.91 × 106,706.01
  4. Step 4: Simplify right side
    191,588.94x = 28,213,166,146.47
  5. Step 5: Solve for x
    x = 28,213,166,146.47/191,588.94
  6. Step 6: Final answer
    x = 147,258.85

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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.