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Finding the Fourth Proportional to 191,448.51, 264,196.33 and 106,565.64

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Solution

The fourth proportional to 191,448.51, 264,196.33 and 106,565.64 is: 147,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,448.51 : 264,196.33 = 106,565.64 : x
  2. Step 2: Convert to fraction form
    191,448.51/264,196.33 = 106,565.64/x
  3. Step 3: Cross multiply
    191,448.51x = 264,196.33 × 106,565.64
  4. Step 4: Simplify right side
    191,448.51x = 28,154,250,725.69
  5. Step 5: Solve for x
    x = 28,154,250,725.69/191,448.51
  6. Step 6: Final answer
    x = 147,059.13

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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.