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Finding the Fourth Proportional to 191,443.76, 264,139.08 and 114,942.32

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Solution

The fourth proportional to 191,443.76, 264,139.08 and 114,942.32 is: 158,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,443.76 : 264,139.08 = 114,942.32 : x
  2. Step 2: Convert to fraction form
    191,443.76/264,139.08 = 114,942.32/x
  3. Step 3: Cross multiply
    191,443.76x = 264,139.08 × 114,942.32
  4. Step 4: Simplify right side
    191,443.76x = 30,360,758,657.87
  5. Step 5: Solve for x
    x = 30,360,758,657.87/191,443.76
  6. Step 6: Final answer
    x = 158,588.40

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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.