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Finding the Fourth Proportional to 191,046, 286,175.14 and 111,920.34

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Solution

The fourth proportional to 191,046, 286,175.14 and 111,920.34 is: 167,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,046 : 286,175.14 = 111,920.34 : x
  2. Step 2: Convert to fraction form
    191,046/286,175.14 = 111,920.34/x
  3. Step 3: Cross multiply
    191,046x = 286,175.14 × 111,920.34
  4. Step 4: Simplify right side
    191,046x = 32,028,818,688.55
  5. Step 5: Solve for x
    x = 32,028,818,688.55/191,046
  6. Step 6: Final answer
    x = 167,649.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.