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Finding the Fourth Proportional to 191,897.82, 264,820.19 and 107,020.35

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Solution

The fourth proportional to 191,897.82, 264,820.19 and 107,020.35 is: 147,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,897.82 : 264,820.19 = 107,020.35 : x
  2. Step 2: Convert to fraction form
    191,897.82/264,820.19 = 107,020.35/x
  3. Step 3: Cross multiply
    191,897.82x = 264,820.19 × 107,020.35
  4. Step 4: Simplify right side
    191,897.82x = 28,341,148,885.76
  5. Step 5: Solve for x
    x = 28,341,148,885.76/191,897.82
  6. Step 6: Final answer
    x = 147,688.75

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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.