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Finding the Fourth Proportional to 191,071.94, 263,676.29 and 105,029.06

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Solution

The fourth proportional to 191,071.94, 263,676.29 and 105,029.06 is: 144,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,071.94 : 263,676.29 = 105,029.06 : x
  2. Step 2: Convert to fraction form
    191,071.94/263,676.29 = 105,029.06/x
  3. Step 3: Cross multiply
    191,071.94x = 263,676.29 × 105,029.06
  4. Step 4: Simplify right side
    191,071.94x = 27,693,671,039.46
  5. Step 5: Solve for x
    x = 27,693,671,039.46/191,071.94
  6. Step 6: Final answer
    x = 144,938.45

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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.