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Finding the Fourth Proportional to 191,584.34, 264,386.40 and 106,701.40

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Solution

The fourth proportional to 191,584.34, 264,386.40 and 106,701.40 is: 147,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,584.34 : 264,386.40 = 106,701.40 : x
  2. Step 2: Convert to fraction form
    191,584.34/264,386.40 = 106,701.40/x
  3. Step 3: Cross multiply
    191,584.34x = 264,386.40 × 106,701.40
  4. Step 4: Simplify right side
    191,584.34x = 28,210,399,020.96
  5. Step 5: Solve for x
    x = 28,210,399,020.96/191,584.34
  6. Step 6: Final answer
    x = 147,247.94

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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.