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Finding the Fourth Proportional to 191,393.76, 286,994.10 and 111,457.56

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Solution

The fourth proportional to 191,393.76, 286,994.10 and 111,457.56 is: 167,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,393.76 : 286,994.10 = 111,457.56 : x
  2. Step 2: Convert to fraction form
    191,393.76/286,994.10 = 111,457.56/x
  3. Step 3: Cross multiply
    191,393.76x = 286,994.10 × 111,457.56
  4. Step 4: Simplify right side
    191,393.76x = 31,987,662,120.40
  5. Step 5: Solve for x
    x = 31,987,662,120.40/191,393.76
  6. Step 6: Final answer
    x = 167,130.12

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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.