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Finding the Fourth Proportional to 191,657.34, 264,464.19 and 109,981.40

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Solution

The fourth proportional to 191,657.34, 264,464.19 and 109,981.40 is: 151,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,657.34 : 264,464.19 = 109,981.40 : x
  2. Step 2: Convert to fraction form
    191,657.34/264,464.19 = 109,981.40/x
  3. Step 3: Cross multiply
    191,657.34x = 264,464.19 × 109,981.40
  4. Step 4: Simplify right side
    191,657.34x = 29,086,140,543.75
  5. Step 5: Solve for x
    x = 29,086,140,543.75/191,657.34
  6. Step 6: Final answer
    x = 151,761.16

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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.