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Finding the Fourth Proportional to 191,884.34, 287,452.50 and 116,818.30

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Solution

The fourth proportional to 191,884.34, 287,452.50 and 116,818.30 is: 174,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,884.34 : 287,452.50 = 116,818.30 : x
  2. Step 2: Convert to fraction form
    191,884.34/287,452.50 = 116,818.30/x
  3. Step 3: Cross multiply
    191,884.34x = 287,452.50 × 116,818.30
  4. Step 4: Simplify right side
    191,884.34x = 33,579,712,088.70
  5. Step 5: Solve for x
    x = 33,579,712,088.70/191,884.34
  6. Step 6: Final answer
    x = 174,999.75

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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.